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Finding the Fourth Proportional to 5,715.91, 7,887.58 and 3,197.58

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Solution

The fourth proportional to 5,715.91, 7,887.58 and 3,197.58 is: 4,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.91 : 7,887.58 = 3,197.58 : x
  2. Step 2: Convert to fraction form
    5,715.91/7,887.58 = 3,197.58/x
  3. Step 3: Cross multiply
    5,715.91x = 7,887.58 × 3,197.58
  4. Step 4: Simplify right side
    5,715.91x = 25,221,168.06
  5. Step 5: Solve for x
    x = 25,221,168.06/5,715.91
  6. Step 6: Final answer
    x = 4,412.45

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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.