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Finding the Fourth Proportional to 5,681.72, 8,523.60 and 1,785.44

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Solution

The fourth proportional to 5,681.72, 8,523.60 and 1,785.44 is: 2,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.72 : 8,523.60 = 1,785.44 : x
  2. Step 2: Convert to fraction form
    5,681.72/8,523.60 = 1,785.44/x
  3. Step 3: Cross multiply
    5,681.72x = 8,523.60 × 1,785.44
  4. Step 4: Simplify right side
    5,681.72x = 15,218,376.38
  5. Step 5: Solve for x
    x = 15,218,376.38/5,681.72
  6. Step 6: Final answer
    x = 2,678.48

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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.