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Finding the Fourth Proportional to 5,507.68, 8,261.53 and 3,871.55

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Solution

The fourth proportional to 5,507.68, 8,261.53 and 3,871.55 is: 5,807.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507.68 : 8,261.53 = 3,871.55 : x
  2. Step 2: Convert to fraction form
    5,507.68/8,261.53 = 3,871.55/x
  3. Step 3: Cross multiply
    5,507.68x = 8,261.53 × 3,871.55
  4. Step 4: Simplify right side
    5,507.68x = 31,984,875.48
  5. Step 5: Solve for x
    x = 31,984,875.48/5,507.68
  6. Step 6: Final answer
    x = 5,807.33

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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.