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Finding the Fourth Proportional to 5,809.42, 8,716.02 and 3,957.76

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Solution

The fourth proportional to 5,809.42, 8,716.02 and 3,957.76 is: 5,937.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.42 : 8,716.02 = 3,957.76 : x
  2. Step 2: Convert to fraction form
    5,809.42/8,716.02 = 3,957.76/x
  3. Step 3: Cross multiply
    5,809.42x = 8,716.02 × 3,957.76
  4. Step 4: Simplify right side
    5,809.42x = 34,495,915.32
  5. Step 5: Solve for x
    x = 34,495,915.32/5,809.42
  6. Step 6: Final answer
    x = 5,937.93

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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.