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Finding the Fourth Proportional to 4,442.46, 6,663.29 and 1,520.43

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Solution

The fourth proportional to 4,442.46, 6,663.29 and 1,520.43 is: 2,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.46 : 6,663.29 = 1,520.43 : x
  2. Step 2: Convert to fraction form
    4,442.46/6,663.29 = 1,520.43/x
  3. Step 3: Cross multiply
    4,442.46x = 6,663.29 × 1,520.43
  4. Step 4: Simplify right side
    4,442.46x = 10,131,058.41
  5. Step 5: Solve for x
    x = 10,131,058.41/4,442.46
  6. Step 6: Final answer
    x = 2,280.51

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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.