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Finding the Fourth Proportional to 4,098.68, 5,654.58 and 2,305.76

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Solution

The fourth proportional to 4,098.68, 5,654.58 and 2,305.76 is: 3,181.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.68 : 5,654.58 = 2,305.76 : x
  2. Step 2: Convert to fraction form
    4,098.68/5,654.58 = 2,305.76/x
  3. Step 3: Cross multiply
    4,098.68x = 5,654.58 × 2,305.76
  4. Step 4: Simplify right side
    4,098.68x = 13,038,104.38
  5. Step 5: Solve for x
    x = 13,038,104.38/4,098.68
  6. Step 6: Final answer
    x = 3,181.05

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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.