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Finding the Fourth Proportional to 3,862.58, 5,803.10 and 2,478.63

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Solution

The fourth proportional to 3,862.58, 5,803.10 and 2,478.63 is: 3,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.58 : 5,803.10 = 2,478.63 : x
  2. Step 2: Convert to fraction form
    3,862.58/5,803.10 = 2,478.63/x
  3. Step 3: Cross multiply
    3,862.58x = 5,803.10 × 2,478.63
  4. Step 4: Simplify right side
    3,862.58x = 14,383,737.75
  5. Step 5: Solve for x
    x = 14,383,737.75/3,862.58
  6. Step 6: Final answer
    x = 3,723.87

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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.