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Finding the Fourth Proportional to 5,826.90, 8,735.10 and 2,126.53

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Solution

The fourth proportional to 5,826.90, 8,735.10 and 2,126.53 is: 3,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.90 : 8,735.10 = 2,126.53 : x
  2. Step 2: Convert to fraction form
    5,826.90/8,735.10 = 2,126.53/x
  3. Step 3: Cross multiply
    5,826.90x = 8,735.10 × 2,126.53
  4. Step 4: Simplify right side
    5,826.90x = 18,575,483.49
  5. Step 5: Solve for x
    x = 18,575,483.49/5,826.90
  6. Step 6: Final answer
    x = 3,187.88

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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.