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Finding the Fourth Proportional to 5,586.90, 7,710.12 and 3,701.76

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Solution

The fourth proportional to 5,586.90, 7,710.12 and 3,701.76 is: 5,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.90 : 7,710.12 = 3,701.76 : x
  2. Step 2: Convert to fraction form
    5,586.90/7,710.12 = 3,701.76/x
  3. Step 3: Cross multiply
    5,586.90x = 7,710.12 × 3,701.76
  4. Step 4: Simplify right side
    5,586.90x = 28,541,013.81
  5. Step 5: Solve for x
    x = 28,541,013.81/5,586.90
  6. Step 6: Final answer
    x = 5,108.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.