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Finding the Fourth Proportional to 4,145.61, 5,722.20 and 2,468.25

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Solution

The fourth proportional to 4,145.61, 5,722.20 and 2,468.25 is: 3,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.61 : 5,722.20 = 2,468.25 : x
  2. Step 2: Convert to fraction form
    4,145.61/5,722.20 = 2,468.25/x
  3. Step 3: Cross multiply
    4,145.61x = 5,722.20 × 2,468.25
  4. Step 4: Simplify right side
    4,145.61x = 14,123,820.15
  5. Step 5: Solve for x
    x = 14,123,820.15/4,145.61
  6. Step 6: Final answer
    x = 3,406.93

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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.