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Finding the Fourth Proportional to 5,590.46, 8,387.06 and 2,081.46

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Solution

The fourth proportional to 5,590.46, 8,387.06 and 2,081.46 is: 3,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.46 : 8,387.06 = 2,081.46 : x
  2. Step 2: Convert to fraction form
    5,590.46/8,387.06 = 2,081.46/x
  3. Step 3: Cross multiply
    5,590.46x = 8,387.06 × 2,081.46
  4. Step 4: Simplify right side
    5,590.46x = 17,457,329.91
  5. Step 5: Solve for x
    x = 17,457,329.91/5,590.46
  6. Step 6: Final answer
    x = 3,122.70

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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.