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Finding the Fourth Proportional to 4,627.28, 6,384.02 and 3,132.84

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Solution

The fourth proportional to 4,627.28, 6,384.02 and 3,132.84 is: 4,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.28 : 6,384.02 = 3,132.84 : x
  2. Step 2: Convert to fraction form
    4,627.28/6,384.02 = 3,132.84/x
  3. Step 3: Cross multiply
    4,627.28x = 6,384.02 × 3,132.84
  4. Step 4: Simplify right side
    4,627.28x = 20,000,113.22
  5. Step 5: Solve for x
    x = 20,000,113.22/4,627.28
  6. Step 6: Final answer
    x = 4,322.22

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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.