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Finding the Fourth Proportional to 5,032.65, 7,549.29 and 1,522.47

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Solution

The fourth proportional to 5,032.65, 7,549.29 and 1,522.47 is: 2,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.65 : 7,549.29 = 1,522.47 : x
  2. Step 2: Convert to fraction form
    5,032.65/7,549.29 = 1,522.47/x
  3. Step 3: Cross multiply
    5,032.65x = 7,549.29 × 1,522.47
  4. Step 4: Simplify right side
    5,032.65x = 11,493,567.55
  5. Step 5: Solve for x
    x = 11,493,567.55/5,032.65
  6. Step 6: Final answer
    x = 2,283.80

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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.