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Finding the Fourth Proportional to 4,902.08, 6,758.90 and 4,270.28

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Solution

The fourth proportional to 4,902.08, 6,758.90 and 4,270.28 is: 5,887.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.08 : 6,758.90 = 4,270.28 : x
  2. Step 2: Convert to fraction form
    4,902.08/6,758.90 = 4,270.28/x
  3. Step 3: Cross multiply
    4,902.08x = 6,758.90 × 4,270.28
  4. Step 4: Simplify right side
    4,902.08x = 28,862,395.49
  5. Step 5: Solve for x
    x = 28,862,395.49/4,902.08
  6. Step 6: Final answer
    x = 5,887.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.