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Finding the Fourth Proportional to 5,885.30, 8,122.10 and 4,117.48

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Solution

The fourth proportional to 5,885.30, 8,122.10 and 4,117.48 is: 5,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.30 : 8,122.10 = 4,117.48 : x
  2. Step 2: Convert to fraction form
    5,885.30/8,122.10 = 4,117.48/x
  3. Step 3: Cross multiply
    5,885.30x = 8,122.10 × 4,117.48
  4. Step 4: Simplify right side
    5,885.30x = 33,442,543.42
  5. Step 5: Solve for x
    x = 33,442,543.42/5,885.30
  6. Step 6: Final answer
    x = 5,682.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.