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Finding the Fourth Proportional to 4,117.56, 6,170.58 and 2,957.88

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Solution

The fourth proportional to 4,117.56, 6,170.58 and 2,957.88 is: 4,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.56 : 6,170.58 = 2,957.88 : x
  2. Step 2: Convert to fraction form
    4,117.56/6,170.58 = 2,957.88/x
  3. Step 3: Cross multiply
    4,117.56x = 6,170.58 × 2,957.88
  4. Step 4: Simplify right side
    4,117.56x = 18,251,835.17
  5. Step 5: Solve for x
    x = 18,251,835.17/4,117.56
  6. Step 6: Final answer
    x = 4,432.68

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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.