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Finding the Fourth Proportional to 5,073.08, 7,609.66 and 1,785.42

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Solution

The fourth proportional to 5,073.08, 7,609.66 and 1,785.42 is: 2,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073.08 : 7,609.66 = 1,785.42 : x
  2. Step 2: Convert to fraction form
    5,073.08/7,609.66 = 1,785.42/x
  3. Step 3: Cross multiply
    5,073.08x = 7,609.66 × 1,785.42
  4. Step 4: Simplify right side
    5,073.08x = 13,586,439.16
  5. Step 5: Solve for x
    x = 13,586,439.16/5,073.08
  6. Step 6: Final answer
    x = 2,678.14

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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.