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Finding the Fourth Proportional to 4,752.14, 7,129.65 and 3,368.17

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Solution

The fourth proportional to 4,752.14, 7,129.65 and 3,368.17 is: 5,053.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.14 : 7,129.65 = 3,368.17 : x
  2. Step 2: Convert to fraction form
    4,752.14/7,129.65 = 3,368.17/x
  3. Step 3: Cross multiply
    4,752.14x = 7,129.65 × 3,368.17
  4. Step 4: Simplify right side
    4,752.14x = 24,013,873.24
  5. Step 5: Solve for x
    x = 24,013,873.24/4,752.14
  6. Step 6: Final answer
    x = 5,053.28

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