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Finding the Fourth Proportional to 5,301.98, 7,316.49 and 2,944.10

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Solution

The fourth proportional to 5,301.98, 7,316.49 and 2,944.10 is: 4,062.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.98 : 7,316.49 = 2,944.10 : x
  2. Step 2: Convert to fraction form
    5,301.98/7,316.49 = 2,944.10/x
  3. Step 3: Cross multiply
    5,301.98x = 7,316.49 × 2,944.10
  4. Step 4: Simplify right side
    5,301.98x = 21,540,478.21
  5. Step 5: Solve for x
    x = 21,540,478.21/5,301.98
  6. Step 6: Final answer
    x = 4,062.72

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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.