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Finding the Fourth Proportional to 4,340.71, 6,507.15 and 3,686.77

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Solution

The fourth proportional to 4,340.71, 6,507.15 and 3,686.77 is: 5,526.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.71 : 6,507.15 = 3,686.77 : x
  2. Step 2: Convert to fraction form
    4,340.71/6,507.15 = 3,686.77/x
  3. Step 3: Cross multiply
    4,340.71x = 6,507.15 × 3,686.77
  4. Step 4: Simplify right side
    4,340.71x = 23,990,365.41
  5. Step 5: Solve for x
    x = 23,990,365.41/4,340.71
  6. Step 6: Final answer
    x = 5,526.83

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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.