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Finding the Fourth Proportional to 4,641.30, 6,415.20 and 4,422.60

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Solution

The fourth proportional to 4,641.30, 6,415.20 and 4,422.60 is: 6,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.30 : 6,415.20 = 4,422.60 : x
  2. Step 2: Convert to fraction form
    4,641.30/6,415.20 = 4,422.60/x
  3. Step 3: Cross multiply
    4,641.30x = 6,415.20 × 4,422.60
  4. Step 4: Simplify right side
    4,641.30x = 28,371,863.52
  5. Step 5: Solve for x
    x = 28,371,863.52/4,641.30
  6. Step 6: Final answer
    x = 6,112.91

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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.