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Finding the Fourth Proportional to 5,419.08, 8,130.15 and 1,909.97

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Solution

The fourth proportional to 5,419.08, 8,130.15 and 1,909.97 is: 2,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.08 : 8,130.15 = 1,909.97 : x
  2. Step 2: Convert to fraction form
    5,419.08/8,130.15 = 1,909.97/x
  3. Step 3: Cross multiply
    5,419.08x = 8,130.15 × 1,909.97
  4. Step 4: Simplify right side
    5,419.08x = 15,528,332.43
  5. Step 5: Solve for x
    x = 15,528,332.43/5,419.08
  6. Step 6: Final answer
    x = 2,865.49

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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.