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Finding the Fourth Proportional to 4,281.28, 6,420.12 and 1,358.80

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Solution

The fourth proportional to 4,281.28, 6,420.12 and 1,358.80 is: 2,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.28 : 6,420.12 = 1,358.80 : x
  2. Step 2: Convert to fraction form
    4,281.28/6,420.12 = 1,358.80/x
  3. Step 3: Cross multiply
    4,281.28x = 6,420.12 × 1,358.80
  4. Step 4: Simplify right side
    4,281.28x = 8,723,659.06
  5. Step 5: Solve for x
    x = 8,723,659.06/4,281.28
  6. Step 6: Final answer
    x = 2,037.63

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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.