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Finding the Fourth Proportional to 3,507.60, 4,842.24 and 2,181.74

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Solution

The fourth proportional to 3,507.60, 4,842.24 and 2,181.74 is: 3,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.60 : 4,842.24 = 2,181.74 : x
  2. Step 2: Convert to fraction form
    3,507.60/4,842.24 = 2,181.74/x
  3. Step 3: Cross multiply
    3,507.60x = 4,842.24 × 2,181.74
  4. Step 4: Simplify right side
    3,507.60x = 10,564,484.49
  5. Step 5: Solve for x
    x = 10,564,484.49/3,507.60
  6. Step 6: Final answer
    x = 3,011.88

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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.