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Finding the Fourth Proportional to 6,479.79, 9,719.22 and 2,319.02

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Solution

The fourth proportional to 6,479.79, 9,719.22 and 2,319.02 is: 3,478.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.79 : 9,719.22 = 2,319.02 : x
  2. Step 2: Convert to fraction form
    6,479.79/9,719.22 = 2,319.02/x
  3. Step 3: Cross multiply
    6,479.79x = 9,719.22 × 2,319.02
  4. Step 4: Simplify right side
    6,479.79x = 22,539,065.56
  5. Step 5: Solve for x
    x = 22,539,065.56/6,479.79
  6. Step 6: Final answer
    x = 3,478.36

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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.