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Finding the Fourth Proportional to 4,232.79, 6,347.05 and 2,478.32

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Solution

The fourth proportional to 4,232.79, 6,347.05 and 2,478.32 is: 3,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.79 : 6,347.05 = 2,478.32 : x
  2. Step 2: Convert to fraction form
    4,232.79/6,347.05 = 2,478.32/x
  3. Step 3: Cross multiply
    4,232.79x = 6,347.05 × 2,478.32
  4. Step 4: Simplify right side
    4,232.79x = 15,730,039.92
  5. Step 5: Solve for x
    x = 15,730,039.92/4,232.79
  6. Step 6: Final answer
    x = 3,716.23

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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.