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Finding the Fourth Proportional to 5,590.69, 7,715.15 and 3,234.20

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Solution

The fourth proportional to 5,590.69, 7,715.15 and 3,234.20 is: 4,463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.69 : 7,715.15 = 3,234.20 : x
  2. Step 2: Convert to fraction form
    5,590.69/7,715.15 = 3,234.20/x
  3. Step 3: Cross multiply
    5,590.69x = 7,715.15 × 3,234.20
  4. Step 4: Simplify right side
    5,590.69x = 24,952,295.51
  5. Step 5: Solve for x
    x = 24,952,295.51/5,590.69
  6. Step 6: Final answer
    x = 4,463.19

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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.