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Finding the Fourth Proportional to 5,140.89, 7,710.71 and 2,023.20

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Solution

The fourth proportional to 5,140.89, 7,710.71 and 2,023.20 is: 3,034.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.89 : 7,710.71 = 2,023.20 : x
  2. Step 2: Convert to fraction form
    5,140.89/7,710.71 = 2,023.20/x
  3. Step 3: Cross multiply
    5,140.89x = 7,710.71 × 2,023.20
  4. Step 4: Simplify right side
    5,140.89x = 15,600,298.36
  5. Step 5: Solve for x
    x = 15,600,298.36/5,140.89
  6. Step 6: Final answer
    x = 3,034.55

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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.