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Finding the Fourth Proportional to 4,752.52, 7,129.14 and 1,290.04

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Solution

The fourth proportional to 4,752.52, 7,129.14 and 1,290.04 is: 1,935.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.52 : 7,129.14 = 1,290.04 : x
  2. Step 2: Convert to fraction form
    4,752.52/7,129.14 = 1,290.04/x
  3. Step 3: Cross multiply
    4,752.52x = 7,129.14 × 1,290.04
  4. Step 4: Simplify right side
    4,752.52x = 9,196,875.77
  5. Step 5: Solve for x
    x = 9,196,875.77/4,752.52
  6. Step 6: Final answer
    x = 1,935.16

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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.