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Finding the Fourth Proportional to 4,435, 6,652.32 and 1,314.88

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Solution

The fourth proportional to 4,435, 6,652.32 and 1,314.88 is: 1,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,435 : 6,652.32 = 1,314.88 : x
  2. Step 2: Convert to fraction form
    4,435/6,652.32 = 1,314.88/x
  3. Step 3: Cross multiply
    4,435x = 6,652.32 × 1,314.88
  4. Step 4: Simplify right side
    4,435x = 8,747,002.52
  5. Step 5: Solve for x
    x = 8,747,002.52/4,435
  6. Step 6: Final answer
    x = 1,972.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.