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Finding the Fourth Proportional to 5,301.60, 7,316.25 and 2,943.90

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Solution

The fourth proportional to 5,301.60, 7,316.25 and 2,943.90 is: 4,062.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.60 : 7,316.25 = 2,943.90 : x
  2. Step 2: Convert to fraction form
    5,301.60/7,316.25 = 2,943.90/x
  3. Step 3: Cross multiply
    5,301.60x = 7,316.25 × 2,943.90
  4. Step 4: Simplify right side
    5,301.60x = 21,538,308.38
  5. Step 5: Solve for x
    x = 21,538,308.38/5,301.60
  6. Step 6: Final answer
    x = 4,062.61

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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.