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Finding the Fourth Proportional to 3,507.81, 4,842.53 and 2,181.95

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Solution

The fourth proportional to 3,507.81, 4,842.53 and 2,181.95 is: 3,012.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.81 : 4,842.53 = 2,181.95 : x
  2. Step 2: Convert to fraction form
    3,507.81/4,842.53 = 2,181.95/x
  3. Step 3: Cross multiply
    3,507.81x = 4,842.53 × 2,181.95
  4. Step 4: Simplify right side
    3,507.81x = 10,566,139.58
  5. Step 5: Solve for x
    x = 10,566,139.58/3,507.81
  6. Step 6: Final answer
    x = 3,012.18

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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.