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Finding the Fourth Proportional to 5,708.16, 7,882.63 and 5,397.52

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Solution

The fourth proportional to 5,708.16, 7,882.63 and 5,397.52 is: 7,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.16 : 7,882.63 = 5,397.52 : x
  2. Step 2: Convert to fraction form
    5,708.16/7,882.63 = 5,397.52/x
  3. Step 3: Cross multiply
    5,708.16x = 7,882.63 × 5,397.52
  4. Step 4: Simplify right side
    5,708.16x = 42,546,653.08
  5. Step 5: Solve for x
    x = 42,546,653.08/5,708.16
  6. Step 6: Final answer
    x = 7,453.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.