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Finding the Fourth Proportional to 6,675.90, 10,002.84 and 2,290.98

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Solution

The fourth proportional to 6,675.90, 10,002.84 and 2,290.98 is: 3,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.90 : 10,002.84 = 2,290.98 : x
  2. Step 2: Convert to fraction form
    6,675.90/10,002.84 = 2,290.98/x
  3. Step 3: Cross multiply
    6,675.90x = 10,002.84 × 2,290.98
  4. Step 4: Simplify right side
    6,675.90x = 22,916,306.38
  5. Step 5: Solve for x
    x = 22,916,306.38/6,675.90
  6. Step 6: Final answer
    x = 3,432.69

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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.