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Finding the Fourth Proportional to 5,862.96, 8,793.45 and 1,914.30

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Solution

The fourth proportional to 5,862.96, 8,793.45 and 1,914.30 is: 2,871.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.96 : 8,793.45 = 1,914.30 : x
  2. Step 2: Convert to fraction form
    5,862.96/8,793.45 = 1,914.30/x
  3. Step 3: Cross multiply
    5,862.96x = 8,793.45 × 1,914.30
  4. Step 4: Simplify right side
    5,862.96x = 16,833,301.34
  5. Step 5: Solve for x
    x = 16,833,301.34/5,862.96
  6. Step 6: Final answer
    x = 2,871.13

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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.