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Finding the Fourth Proportional to 4,319.53, 6,480.24 and 1,398.13

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Solution

The fourth proportional to 4,319.53, 6,480.24 and 1,398.13 is: 2,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,319.53 : 6,480.24 = 1,398.13 : x
  2. Step 2: Convert to fraction form
    4,319.53/6,480.24 = 1,398.13/x
  3. Step 3: Cross multiply
    4,319.53x = 6,480.24 × 1,398.13
  4. Step 4: Simplify right side
    4,319.53x = 9,060,217.95
  5. Step 5: Solve for x
    x = 9,060,217.95/4,319.53
  6. Step 6: Final answer
    x = 2,097.50

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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.