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Finding the Fourth Proportional to 5,681.14, 8,523.07 and 1,785.54

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Solution

The fourth proportional to 5,681.14, 8,523.07 and 1,785.54 is: 2,678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.14 : 8,523.07 = 1,785.54 : x
  2. Step 2: Convert to fraction form
    5,681.14/8,523.07 = 1,785.54/x
  3. Step 3: Cross multiply
    5,681.14x = 8,523.07 × 1,785.54
  4. Step 4: Simplify right side
    5,681.14x = 15,218,319.95
  5. Step 5: Solve for x
    x = 15,218,319.95/5,681.14
  6. Step 6: Final answer
    x = 2,678.75

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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.