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Finding the Fourth Proportional to 4,280.34, 6,422.34 and 1,358.88

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Solution

The fourth proportional to 4,280.34, 6,422.34 and 1,358.88 is: 2,038.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,280.34 : 6,422.34 = 1,358.88 : x
  2. Step 2: Convert to fraction form
    4,280.34/6,422.34 = 1,358.88/x
  3. Step 3: Cross multiply
    4,280.34x = 6,422.34 × 1,358.88
  4. Step 4: Simplify right side
    4,280.34x = 8,727,189.38
  5. Step 5: Solve for x
    x = 8,727,189.38/4,280.34
  6. Step 6: Final answer
    x = 2,038.90

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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.