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Finding the Fourth Proportional to 4,199, 6,298.34 and 1,079.02

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Solution

The fourth proportional to 4,199, 6,298.34 and 1,079.02 is: 1,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199 : 6,298.34 = 1,079.02 : x
  2. Step 2: Convert to fraction form
    4,199/6,298.34 = 1,079.02/x
  3. Step 3: Cross multiply
    4,199x = 6,298.34 × 1,079.02
  4. Step 4: Simplify right side
    4,199x = 6,796,034.83
  5. Step 5: Solve for x
    x = 6,796,034.83/4,199
  6. Step 6: Final answer
    x = 1,618.49

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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.