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Finding the Fourth Proportional to 4,573.39, 6,862.82 and 4,201.60

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Solution

The fourth proportional to 4,573.39, 6,862.82 and 4,201.60 is: 6,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.39 : 6,862.82 = 4,201.60 : x
  2. Step 2: Convert to fraction form
    4,573.39/6,862.82 = 4,201.60/x
  3. Step 3: Cross multiply
    4,573.39x = 6,862.82 × 4,201.60
  4. Step 4: Simplify right side
    4,573.39x = 28,834,824.51
  5. Step 5: Solve for x
    x = 28,834,824.51/4,573.39
  6. Step 6: Final answer
    x = 6,304.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.