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Finding the Fourth Proportional to 5,145.40, 7,712.70 and 2,024.20

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Solution

The fourth proportional to 5,145.40, 7,712.70 and 2,024.20 is: 3,034.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.40 : 7,712.70 = 2,024.20 : x
  2. Step 2: Convert to fraction form
    5,145.40/7,712.70 = 2,024.20/x
  3. Step 3: Cross multiply
    5,145.40x = 7,712.70 × 2,024.20
  4. Step 4: Simplify right side
    5,145.40x = 15,612,047.34
  5. Step 5: Solve for x
    x = 15,612,047.34/5,145.40
  6. Step 6: Final answer
    x = 3,034.18

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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.