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Finding the Fourth Proportional to 5,837.49, 8,697.24 and 5,558.85

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Solution

The fourth proportional to 5,837.49, 8,697.24 and 5,558.85 is: 8,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.49 : 8,697.24 = 5,558.85 : x
  2. Step 2: Convert to fraction form
    5,837.49/8,697.24 = 5,558.85/x
  3. Step 3: Cross multiply
    5,837.49x = 8,697.24 × 5,558.85
  4. Step 4: Simplify right side
    5,837.49x = 48,346,652.57
  5. Step 5: Solve for x
    x = 48,346,652.57/5,837.49
  6. Step 6: Final answer
    x = 8,282.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.