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Finding the Fourth Proportional to 5,931.56, 8,902.71 and 3,160.58

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Solution

The fourth proportional to 5,931.56, 8,902.71 and 3,160.58 is: 4,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.56 : 8,902.71 = 3,160.58 : x
  2. Step 2: Convert to fraction form
    5,931.56/8,902.71 = 3,160.58/x
  3. Step 3: Cross multiply
    5,931.56x = 8,902.71 × 3,160.58
  4. Step 4: Simplify right side
    5,931.56x = 28,137,682.66
  5. Step 5: Solve for x
    x = 28,137,682.66/5,931.56
  6. Step 6: Final answer
    x = 4,743.72

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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.