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Finding the Fourth Proportional to 4,531.49, 6,261.00 and 4,029.70

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Solution

The fourth proportional to 4,531.49, 6,261.00 and 4,029.70 is: 5,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531.49 : 6,261.00 = 4,029.70 : x
  2. Step 2: Convert to fraction form
    4,531.49/6,261.00 = 4,029.70/x
  3. Step 3: Cross multiply
    4,531.49x = 6,261.00 × 4,029.70
  4. Step 4: Simplify right side
    4,531.49x = 25,229,932.68
  5. Step 5: Solve for x
    x = 25,229,932.68/4,531.49
  6. Step 6: Final answer
    x = 5,567.68

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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.