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Finding the Fourth Proportional to 5,140.47, 7,710.72 and 1,244.87

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Solution

The fourth proportional to 5,140.47, 7,710.72 and 1,244.87 is: 1,867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.47 : 7,710.72 = 1,244.87 : x
  2. Step 2: Convert to fraction form
    5,140.47/7,710.72 = 1,244.87/x
  3. Step 3: Cross multiply
    5,140.47x = 7,710.72 × 1,244.87
  4. Step 4: Simplify right side
    5,140.47x = 9,598,802.34
  5. Step 5: Solve for x
    x = 9,598,802.34/5,140.47
  6. Step 6: Final answer
    x = 1,867.30

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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.