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Finding the Fourth Proportional to 3,569.80, 5,353.74 and 1,261

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Solution

The fourth proportional to 3,569.80, 5,353.74 and 1,261 is: 1,891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.80 : 5,353.74 = 1,261 : x
  2. Step 2: Convert to fraction form
    3,569.80/5,353.74 = 1,261/x
  3. Step 3: Cross multiply
    3,569.80x = 5,353.74 × 1,261
  4. Step 4: Simplify right side
    3,569.80x = 6,751,066.14
  5. Step 5: Solve for x
    x = 6,751,066.14/3,569.80
  6. Step 6: Final answer
    x = 1,891.16

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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.