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Finding the Fourth Proportional to 4,354.90, 6,532.32 and 1,433.44

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Solution

The fourth proportional to 4,354.90, 6,532.32 and 1,433.44 is: 2,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.90 : 6,532.32 = 1,433.44 : x
  2. Step 2: Convert to fraction form
    4,354.90/6,532.32 = 1,433.44/x
  3. Step 3: Cross multiply
    4,354.90x = 6,532.32 × 1,433.44
  4. Step 4: Simplify right side
    4,354.90x = 9,363,688.78
  5. Step 5: Solve for x
    x = 9,363,688.78/4,354.90
  6. Step 6: Final answer
    x = 2,150.15

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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.