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Finding the Fourth Proportional to 4,897.38, 6,758.35 and 2,659.22

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Solution

The fourth proportional to 4,897.38, 6,758.35 and 2,659.22 is: 3,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.38 : 6,758.35 = 2,659.22 : x
  2. Step 2: Convert to fraction form
    4,897.38/6,758.35 = 2,659.22/x
  3. Step 3: Cross multiply
    4,897.38x = 6,758.35 × 2,659.22
  4. Step 4: Simplify right side
    4,897.38x = 17,971,892.40
  5. Step 5: Solve for x
    x = 17,971,892.40/4,897.38
  6. Step 6: Final answer
    x = 3,669.70

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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.