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Finding the Fourth Proportional to 3,397.15, 5,095.74 and 931.90

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Solution

The fourth proportional to 3,397.15, 5,095.74 and 931.90 is: 1,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.15 : 5,095.74 = 931.90 : x
  2. Step 2: Convert to fraction form
    3,397.15/5,095.74 = 931.90/x
  3. Step 3: Cross multiply
    3,397.15x = 5,095.74 × 931.90
  4. Step 4: Simplify right side
    3,397.15x = 4,748,720.11
  5. Step 5: Solve for x
    x = 4,748,720.11/3,397.15
  6. Step 6: Final answer
    x = 1,397.85

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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.