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Finding the Fourth Proportional to 4,354.64, 6,532.78 and 1,433.06

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Solution

The fourth proportional to 4,354.64, 6,532.78 and 1,433.06 is: 2,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.64 : 6,532.78 = 1,433.06 : x
  2. Step 2: Convert to fraction form
    4,354.64/6,532.78 = 1,433.06/x
  3. Step 3: Cross multiply
    4,354.64x = 6,532.78 × 1,433.06
  4. Step 4: Simplify right side
    4,354.64x = 9,361,865.71
  5. Step 5: Solve for x
    x = 9,361,865.71/4,354.64
  6. Step 6: Final answer
    x = 2,149.86

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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.