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Finding the Fourth Proportional to 5,879.68, 8,819.52 and 2,417.20

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Solution

The fourth proportional to 5,879.68, 8,819.52 and 2,417.20 is: 3,625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.68 : 8,819.52 = 2,417.20 : x
  2. Step 2: Convert to fraction form
    5,879.68/8,819.52 = 2,417.20/x
  3. Step 3: Cross multiply
    5,879.68x = 8,819.52 × 2,417.20
  4. Step 4: Simplify right side
    5,879.68x = 21,318,543.74
  5. Step 5: Solve for x
    x = 21,318,543.74/5,879.68
  6. Step 6: Final answer
    x = 3,625.80

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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.