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Finding the Fourth Proportional to 4,689.52, 6,469.90 and 3,010.80

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Solution

The fourth proportional to 4,689.52, 6,469.90 and 3,010.80 is: 4,153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.52 : 6,469.90 = 3,010.80 : x
  2. Step 2: Convert to fraction form
    4,689.52/6,469.90 = 3,010.80/x
  3. Step 3: Cross multiply
    4,689.52x = 6,469.90 × 3,010.80
  4. Step 4: Simplify right side
    4,689.52x = 19,479,574.92
  5. Step 5: Solve for x
    x = 19,479,574.92/4,689.52
  6. Step 6: Final answer
    x = 4,153.85

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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.