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Finding the Fourth Proportional to 5,913.60, 8,871.48 and 2,019.12

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Solution

The fourth proportional to 5,913.60, 8,871.48 and 2,019.12 is: 3,029.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.60 : 8,871.48 = 2,019.12 : x
  2. Step 2: Convert to fraction form
    5,913.60/8,871.48 = 2,019.12/x
  3. Step 3: Cross multiply
    5,913.60x = 8,871.48 × 2,019.12
  4. Step 4: Simplify right side
    5,913.60x = 17,912,582.70
  5. Step 5: Solve for x
    x = 17,912,582.70/5,913.60
  6. Step 6: Final answer
    x = 3,029.05

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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.