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Finding the Fourth Proportional to 4,317.53, 6,472.53 and 3,663.65

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Solution

The fourth proportional to 4,317.53, 6,472.53 and 3,663.65 is: 5,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,317.53 : 6,472.53 = 3,663.65 : x
  2. Step 2: Convert to fraction form
    4,317.53/6,472.53 = 3,663.65/x
  3. Step 3: Cross multiply
    4,317.53x = 6,472.53 × 3,663.65
  4. Step 4: Simplify right side
    4,317.53x = 23,713,052.17
  5. Step 5: Solve for x
    x = 23,713,052.17/4,317.53
  6. Step 6: Final answer
    x = 5,492.28

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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.