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Finding the Fourth Proportional to 5,144.40, 7,095 and 3,046.56

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Solution

The fourth proportional to 5,144.40, 7,095 and 3,046.56 is: 4,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.40 : 7,095 = 3,046.56 : x
  2. Step 2: Convert to fraction form
    5,144.40/7,095 = 3,046.56/x
  3. Step 3: Cross multiply
    5,144.40x = 7,095 × 3,046.56
  4. Step 4: Simplify right side
    5,144.40x = 21,615,343.20
  5. Step 5: Solve for x
    x = 21,615,343.20/5,144.40
  6. Step 6: Final answer
    x = 4,201.72

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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.