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Finding the Fourth Proportional to 3,507.65, 4,842.30 and 2,181.78

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Solution

The fourth proportional to 3,507.65, 4,842.30 and 2,181.78 is: 3,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.65 : 4,842.30 = 2,181.78 : x
  2. Step 2: Convert to fraction form
    3,507.65/4,842.30 = 2,181.78/x
  3. Step 3: Cross multiply
    3,507.65x = 4,842.30 × 2,181.78
  4. Step 4: Simplify right side
    3,507.65x = 10,564,833.29
  5. Step 5: Solve for x
    x = 10,564,833.29/3,507.65
  6. Step 6: Final answer
    x = 3,011.94

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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.