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Finding the Fourth Proportional to 3,152.58, 4,727.98 and 931.89

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Solution

The fourth proportional to 3,152.58, 4,727.98 and 931.89 is: 1,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.58 : 4,727.98 = 931.89 : x
  2. Step 2: Convert to fraction form
    3,152.58/4,727.98 = 931.89/x
  3. Step 3: Cross multiply
    3,152.58x = 4,727.98 × 931.89
  4. Step 4: Simplify right side
    3,152.58x = 4,405,957.28
  5. Step 5: Solve for x
    x = 4,405,957.28/3,152.58
  6. Step 6: Final answer
    x = 1,397.57

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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.