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Finding the Fourth Proportional to 3,784.77, 5,671.44 and 1,592.91

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Solution

The fourth proportional to 3,784.77, 5,671.44 and 1,592.91 is: 2,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.77 : 5,671.44 = 1,592.91 : x
  2. Step 2: Convert to fraction form
    3,784.77/5,671.44 = 1,592.91/x
  3. Step 3: Cross multiply
    3,784.77x = 5,671.44 × 1,592.91
  4. Step 4: Simplify right side
    3,784.77x = 9,034,093.49
  5. Step 5: Solve for x
    x = 9,034,093.49/3,784.77
  6. Step 6: Final answer
    x = 2,386.96

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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.