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Finding the Fourth Proportional to 4,221.68, 5,826.63 and 2,454.30

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Solution

The fourth proportional to 4,221.68, 5,826.63 and 2,454.30 is: 3,387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.68 : 5,826.63 = 2,454.30 : x
  2. Step 2: Convert to fraction form
    4,221.68/5,826.63 = 2,454.30/x
  3. Step 3: Cross multiply
    4,221.68x = 5,826.63 × 2,454.30
  4. Step 4: Simplify right side
    4,221.68x = 14,300,319.86
  5. Step 5: Solve for x
    x = 14,300,319.86/4,221.68
  6. Step 6: Final answer
    x = 3,387.36

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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.