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Finding the Fourth Proportional to 3,705.11, 5,557.68 and 931.79

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Solution

The fourth proportional to 3,705.11, 5,557.68 and 931.79 is: 1,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.11 : 5,557.68 = 931.79 : x
  2. Step 2: Convert to fraction form
    3,705.11/5,557.68 = 931.79/x
  3. Step 3: Cross multiply
    3,705.11x = 5,557.68 × 931.79
  4. Step 4: Simplify right side
    3,705.11x = 5,178,590.65
  5. Step 5: Solve for x
    x = 5,178,590.65/3,705.11
  6. Step 6: Final answer
    x = 1,397.69

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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.