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Finding the Fourth Proportional to 3,609.60, 5,411.16 and 2,686.20

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Solution

The fourth proportional to 3,609.60, 5,411.16 and 2,686.20 is: 4,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.60 : 5,411.16 = 2,686.20 : x
  2. Step 2: Convert to fraction form
    3,609.60/5,411.16 = 2,686.20/x
  3. Step 3: Cross multiply
    3,609.60x = 5,411.16 × 2,686.20
  4. Step 4: Simplify right side
    3,609.60x = 14,535,457.99
  5. Step 5: Solve for x
    x = 14,535,457.99/3,609.60
  6. Step 6: Final answer
    x = 4,026.89

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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.