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Finding the Fourth Proportional to 5,913.68, 8,161.52 and 4,419.03

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Solution

The fourth proportional to 5,913.68, 8,161.52 and 4,419.03 is: 6,098.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.68 : 8,161.52 = 4,419.03 : x
  2. Step 2: Convert to fraction form
    5,913.68/8,161.52 = 4,419.03/x
  3. Step 3: Cross multiply
    5,913.68x = 8,161.52 × 4,419.03
  4. Step 4: Simplify right side
    5,913.68x = 36,065,979.63
  5. Step 5: Solve for x
    x = 36,065,979.63/5,913.68
  6. Step 6: Final answer
    x = 6,098.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.