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Finding the Fourth Proportional to 4,462.32, 6,651.44 and 4,320.80

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Solution

The fourth proportional to 4,462.32, 6,651.44 and 4,320.80 is: 6,440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.32 : 6,651.44 = 4,320.80 : x
  2. Step 2: Convert to fraction form
    4,462.32/6,651.44 = 4,320.80/x
  3. Step 3: Cross multiply
    4,462.32x = 6,651.44 × 4,320.80
  4. Step 4: Simplify right side
    4,462.32x = 28,739,541.95
  5. Step 5: Solve for x
    x = 28,739,541.95/4,462.32
  6. Step 6: Final answer
    x = 6,440.49

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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.