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Finding the Fourth Proportional to 5,712.27, 7,880.70 and 3,586.89

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Solution

The fourth proportional to 5,712.27, 7,880.70 and 3,586.89 is: 4,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.27 : 7,880.70 = 3,586.89 : x
  2. Step 2: Convert to fraction form
    5,712.27/7,880.70 = 3,586.89/x
  3. Step 3: Cross multiply
    5,712.27x = 7,880.70 × 3,586.89
  4. Step 4: Simplify right side
    5,712.27x = 28,267,204.02
  5. Step 5: Solve for x
    x = 28,267,204.02/5,712.27
  6. Step 6: Final answer
    x = 4,948.51

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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.