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Finding the Fourth Proportional to 6,590.30, 9,881.80 and 2,205.36

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Solution

The fourth proportional to 6,590.30, 9,881.80 and 2,205.36 is: 3,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.30 : 9,881.80 = 2,205.36 : x
  2. Step 2: Convert to fraction form
    6,590.30/9,881.80 = 2,205.36/x
  3. Step 3: Cross multiply
    6,590.30x = 9,881.80 × 2,205.36
  4. Step 4: Simplify right side
    6,590.30x = 21,792,920.93
  5. Step 5: Solve for x
    x = 21,792,920.93/6,590.30
  6. Step 6: Final answer
    x = 3,306.82

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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.