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Finding the Fourth Proportional to 3,569.84, 5,357.07 and 1,927.52

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Solution

The fourth proportional to 3,569.84, 5,357.07 and 1,927.52 is: 2,892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.84 : 5,357.07 = 1,927.52 : x
  2. Step 2: Convert to fraction form
    3,569.84/5,357.07 = 1,927.52/x
  3. Step 3: Cross multiply
    3,569.84x = 5,357.07 × 1,927.52
  4. Step 4: Simplify right side
    3,569.84x = 10,325,859.57
  5. Step 5: Solve for x
    x = 10,325,859.57/3,569.84
  6. Step 6: Final answer
    x = 2,892.53

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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.