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Finding the Fourth Proportional to 4,041.60, 6,062.40 and 3,868.80

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Solution

The fourth proportional to 4,041.60, 6,062.40 and 3,868.80 is: 5,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,041.60 : 6,062.40 = 3,868.80 : x
  2. Step 2: Convert to fraction form
    4,041.60/6,062.40 = 3,868.80/x
  3. Step 3: Cross multiply
    4,041.60x = 6,062.40 × 3,868.80
  4. Step 4: Simplify right side
    4,041.60x = 23,454,213.12
  5. Step 5: Solve for x
    x = 23,454,213.12/4,041.60
  6. Step 6: Final answer
    x = 5,803.20

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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.