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Finding the Fourth Proportional to 5,715.52, 7,887.48 and 3,357.76

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Solution

The fourth proportional to 5,715.52, 7,887.48 and 3,357.76 is: 4,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.52 : 7,887.48 = 3,357.76 : x
  2. Step 2: Convert to fraction form
    5,715.52/7,887.48 = 3,357.76/x
  3. Step 3: Cross multiply
    5,715.52x = 7,887.48 × 3,357.76
  4. Step 4: Simplify right side
    5,715.52x = 26,484,264.84
  5. Step 5: Solve for x
    x = 26,484,264.84/5,715.52
  6. Step 6: Final answer
    x = 4,633.75

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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.