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Finding the Fourth Proportional to 4,329.12, 6,449 and 4,060.20

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Solution

The fourth proportional to 4,329.12, 6,449 and 4,060.20 is: 6,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.12 : 6,449 = 4,060.20 : x
  2. Step 2: Convert to fraction form
    4,329.12/6,449 = 4,060.20/x
  3. Step 3: Cross multiply
    4,329.12x = 6,449 × 4,060.20
  4. Step 4: Simplify right side
    4,329.12x = 26,184,229.80
  5. Step 5: Solve for x
    x = 26,184,229.80/4,329.12
  6. Step 6: Final answer
    x = 6,048.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.