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Finding the Fourth Proportional to 5,972.53, 8,242.57 and 3,852.47

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Solution

The fourth proportional to 5,972.53, 8,242.57 and 3,852.47 is: 5,316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.53 : 8,242.57 = 3,852.47 : x
  2. Step 2: Convert to fraction form
    5,972.53/8,242.57 = 3,852.47/x
  3. Step 3: Cross multiply
    5,972.53x = 8,242.57 × 3,852.47
  4. Step 4: Simplify right side
    5,972.53x = 31,754,253.65
  5. Step 5: Solve for x
    x = 31,754,253.65/5,972.53
  6. Step 6: Final answer
    x = 5,316.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.