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Finding the Fourth Proportional to 4,432, 6,645.52 and 2,057.48

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Solution

The fourth proportional to 4,432, 6,645.52 and 2,057.48 is: 3,085.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432 : 6,645.52 = 2,057.48 : x
  2. Step 2: Convert to fraction form
    4,432/6,645.52 = 2,057.48/x
  3. Step 3: Cross multiply
    4,432x = 6,645.52 × 2,057.48
  4. Step 4: Simplify right side
    4,432x = 13,673,024.49
  5. Step 5: Solve for x
    x = 13,673,024.49/4,432
  6. Step 6: Final answer
    x = 3,085.07

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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.