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Finding the Fourth Proportional to 5,460.73, 7,535.74 and 3,102.82

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Solution

The fourth proportional to 5,460.73, 7,535.74 and 3,102.82 is: 4,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.73 : 7,535.74 = 3,102.82 : x
  2. Step 2: Convert to fraction form
    5,460.73/7,535.74 = 3,102.82/x
  3. Step 3: Cross multiply
    5,460.73x = 7,535.74 × 3,102.82
  4. Step 4: Simplify right side
    5,460.73x = 23,382,044.79
  5. Step 5: Solve for x
    x = 23,382,044.79/5,460.73
  6. Step 6: Final answer
    x = 4,281.85

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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.