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Finding the Fourth Proportional to 3,547.53, 5,314.01 and 2,850.42

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Solution

The fourth proportional to 3,547.53, 5,314.01 and 2,850.42 is: 4,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.53 : 5,314.01 = 2,850.42 : x
  2. Step 2: Convert to fraction form
    3,547.53/5,314.01 = 2,850.42/x
  3. Step 3: Cross multiply
    3,547.53x = 5,314.01 × 2,850.42
  4. Step 4: Simplify right side
    3,547.53x = 15,147,166.06
  5. Step 5: Solve for x
    x = 15,147,166.06/3,547.53
  6. Step 6: Final answer
    x = 4,269.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.