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Finding the Fourth Proportional to 3,804,764.91, 5,709,109.52 and 1,783,214.20

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Solution

The fourth proportional to 3,804,764.91, 5,709,109.52 and 1,783,214.20 is: 2,675,740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804,764.91 : 5,709,109.52 = 1,783,214.20 : x
  2. Step 2: Convert to fraction form
    3,804,764.91/5,709,109.52 = 1,783,214.20/x
  3. Step 3: Cross multiply
    3,804,764.91x = 5,709,109.52 × 1,783,214.20
  4. Step 4: Simplify right side
    3,804,764.91x = 10,180,565,127,957.56
  5. Step 5: Solve for x
    x = 10,180,565,127,957.56/3,804,764.91
  6. Step 6: Final answer
    x = 2,675,740.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.