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Finding the Fourth Proportional to 5,032.80, 7,544.88 and 1,744.20

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Solution

The fourth proportional to 5,032.80, 7,544.88 and 1,744.20 is: 2,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.80 : 7,544.88 = 1,744.20 : x
  2. Step 2: Convert to fraction form
    5,032.80/7,544.88 = 1,744.20/x
  3. Step 3: Cross multiply
    5,032.80x = 7,544.88 × 1,744.20
  4. Step 4: Simplify right side
    5,032.80x = 13,159,779.70
  5. Step 5: Solve for x
    x = 13,159,779.70/5,032.80
  6. Step 6: Final answer
    x = 2,614.80

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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.