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Finding the Fourth Proportional to 3,686.07, 5,524.19 and 1,343.87

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Solution

The fourth proportional to 3,686.07, 5,524.19 and 1,343.87 is: 2,014.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.07 : 5,524.19 = 1,343.87 : x
  2. Step 2: Convert to fraction form
    3,686.07/5,524.19 = 1,343.87/x
  3. Step 3: Cross multiply
    3,686.07x = 5,524.19 × 1,343.87
  4. Step 4: Simplify right side
    3,686.07x = 7,423,800.31
  5. Step 5: Solve for x
    x = 7,423,800.31/3,686.07
  6. Step 6: Final answer
    x = 2,014.02

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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.