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Finding the Fourth Proportional to 5,850, 8,087.40 and 5,605.20

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Solution

The fourth proportional to 5,850, 8,087.40 and 5,605.20 is: 7,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850 : 8,087.40 = 5,605.20 : x
  2. Step 2: Convert to fraction form
    5,850/8,087.40 = 5,605.20/x
  3. Step 3: Cross multiply
    5,850x = 8,087.40 × 5,605.20
  4. Step 4: Simplify right side
    5,850x = 45,331,494.48
  5. Step 5: Solve for x
    x = 45,331,494.48/5,850
  6. Step 6: Final answer
    x = 7,748.97

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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.