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Finding the Fourth Proportional to 4,124.46, 5,691.72 and 2,261.46

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Solution

The fourth proportional to 4,124.46, 5,691.72 and 2,261.46 is: 3,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124.46 : 5,691.72 = 2,261.46 : x
  2. Step 2: Convert to fraction form
    4,124.46/5,691.72 = 2,261.46/x
  3. Step 3: Cross multiply
    4,124.46x = 5,691.72 × 2,261.46
  4. Step 4: Simplify right side
    4,124.46x = 12,871,597.11
  5. Step 5: Solve for x
    x = 12,871,597.11/4,124.46
  6. Step 6: Final answer
    x = 3,120.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.