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Finding the Fourth Proportional to 3,397.32, 5,095.07 and 931.55

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Solution

The fourth proportional to 3,397.32, 5,095.07 and 931.55 is: 1,397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.32 : 5,095.07 = 931.55 : x
  2. Step 2: Convert to fraction form
    3,397.32/5,095.07 = 931.55/x
  3. Step 3: Cross multiply
    3,397.32x = 5,095.07 × 931.55
  4. Step 4: Simplify right side
    3,397.32x = 4,746,285.82
  5. Step 5: Solve for x
    x = 4,746,285.82/3,397.32
  6. Step 6: Final answer
    x = 1,397.07

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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.