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Finding the Fourth Proportional to 5,731.84, 8,591.10 and 4,693.60

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Solution

The fourth proportional to 5,731.84, 8,591.10 and 4,693.60 is: 7,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.84 : 8,591.10 = 4,693.60 : x
  2. Step 2: Convert to fraction form
    5,731.84/8,591.10 = 4,693.60/x
  3. Step 3: Cross multiply
    5,731.84x = 8,591.10 × 4,693.60
  4. Step 4: Simplify right side
    5,731.84x = 40,323,186.96
  5. Step 5: Solve for x
    x = 40,323,186.96/5,731.84
  6. Step 6: Final answer
    x = 7,034.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.