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Finding the Fourth Proportional to 5,339.82, 8,006.05 and 2,872.16

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Solution

The fourth proportional to 5,339.82, 8,006.05 and 2,872.16 is: 4,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.82 : 8,006.05 = 2,872.16 : x
  2. Step 2: Convert to fraction form
    5,339.82/8,006.05 = 2,872.16/x
  3. Step 3: Cross multiply
    5,339.82x = 8,006.05 × 2,872.16
  4. Step 4: Simplify right side
    5,339.82x = 22,994,602.18
  5. Step 5: Solve for x
    x = 22,994,602.18/5,339.82
  6. Step 6: Final answer
    x = 4,306.25

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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.