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Finding the Fourth Proportional to 3,569.74, 4,924.80 and 2,241.14

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Solution

The fourth proportional to 3,569.74, 4,924.80 and 2,241.14 is: 3,091.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.74 : 4,924.80 = 2,241.14 : x
  2. Step 2: Convert to fraction form
    3,569.74/4,924.80 = 2,241.14/x
  3. Step 3: Cross multiply
    3,569.74x = 4,924.80 × 2,241.14
  4. Step 4: Simplify right side
    3,569.74x = 11,037,141.65
  5. Step 5: Solve for x
    x = 11,037,141.65/3,569.74
  6. Step 6: Final answer
    x = 3,091.86

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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.