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Finding the Fourth Proportional to 4,698.06, 7,048.06 and 1,776.32

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Solution

The fourth proportional to 4,698.06, 7,048.06 and 1,776.32 is: 2,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.06 : 7,048.06 = 1,776.32 : x
  2. Step 2: Convert to fraction form
    4,698.06/7,048.06 = 1,776.32/x
  3. Step 3: Cross multiply
    4,698.06x = 7,048.06 × 1,776.32
  4. Step 4: Simplify right side
    4,698.06x = 12,519,609.94
  5. Step 5: Solve for x
    x = 12,519,609.94/4,698.06
  6. Step 6: Final answer
    x = 2,664.85

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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.