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Finding the Fourth Proportional to 4,649.92, 6,978.36 and 3,254.08

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Solution

The fourth proportional to 4,649.92, 6,978.36 and 3,254.08 is: 4,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.92 : 6,978.36 = 3,254.08 : x
  2. Step 2: Convert to fraction form
    4,649.92/6,978.36 = 3,254.08/x
  3. Step 3: Cross multiply
    4,649.92x = 6,978.36 × 3,254.08
  4. Step 4: Simplify right side
    4,649.92x = 22,708,141.71
  5. Step 5: Solve for x
    x = 22,708,141.71/4,649.92
  6. Step 6: Final answer
    x = 4,883.56

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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.