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Finding the Fourth Proportional to 5,470, 7,548.64 and 2,986

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Solution

The fourth proportional to 5,470, 7,548.64 and 2,986 is: 4,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470 : 7,548.64 = 2,986 : x
  2. Step 2: Convert to fraction form
    5,470/7,548.64 = 2,986/x
  3. Step 3: Cross multiply
    5,470x = 7,548.64 × 2,986
  4. Step 4: Simplify right side
    5,470x = 22,540,239.04
  5. Step 5: Solve for x
    x = 22,540,239.04/5,470
  6. Step 6: Final answer
    x = 4,120.70

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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.