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Finding the Fourth Proportional to 5,686.47, 8,527.10 and 2,397.76

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Solution

The fourth proportional to 5,686.47, 8,527.10 and 2,397.76 is: 3,595.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.47 : 8,527.10 = 2,397.76 : x
  2. Step 2: Convert to fraction form
    5,686.47/8,527.10 = 2,397.76/x
  3. Step 3: Cross multiply
    5,686.47x = 8,527.10 × 2,397.76
  4. Step 4: Simplify right side
    5,686.47x = 20,445,905.99
  5. Step 5: Solve for x
    x = 20,445,905.99/5,686.47
  6. Step 6: Final answer
    x = 3,595.54

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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.