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Finding the Fourth Proportional to 3,785.59, 5,678.32 and 1,153.09

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Solution

The fourth proportional to 3,785.59, 5,678.32 and 1,153.09 is: 1,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.59 : 5,678.32 = 1,153.09 : x
  2. Step 2: Convert to fraction form
    3,785.59/5,678.32 = 1,153.09/x
  3. Step 3: Cross multiply
    3,785.59x = 5,678.32 × 1,153.09
  4. Step 4: Simplify right side
    3,785.59x = 6,547,614.01
  5. Step 5: Solve for x
    x = 6,547,614.01/3,785.59
  6. Step 6: Final answer
    x = 1,729.62

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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.