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Finding the Fourth Proportional to 6,101.02, 9,149.70 and 2,590.96

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Solution

The fourth proportional to 6,101.02, 9,149.70 and 2,590.96 is: 3,885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.02 : 9,149.70 = 2,590.96 : x
  2. Step 2: Convert to fraction form
    6,101.02/9,149.70 = 2,590.96/x
  3. Step 3: Cross multiply
    6,101.02x = 9,149.70 × 2,590.96
  4. Step 4: Simplify right side
    6,101.02x = 23,706,506.71
  5. Step 5: Solve for x
    x = 23,706,506.71/6,101.02
  6. Step 6: Final answer
    x = 3,885.66

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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.