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Finding the Fourth Proportional to 4,892.16, 6,749.52 and 2,902.80

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Solution

The fourth proportional to 4,892.16, 6,749.52 and 2,902.80 is: 4,004.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.16 : 6,749.52 = 2,902.80 : x
  2. Step 2: Convert to fraction form
    4,892.16/6,749.52 = 2,902.80/x
  3. Step 3: Cross multiply
    4,892.16x = 6,749.52 × 2,902.80
  4. Step 4: Simplify right side
    4,892.16x = 19,592,506.66
  5. Step 5: Solve for x
    x = 19,592,506.66/4,892.16
  6. Step 6: Final answer
    x = 4,004.88

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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.