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Finding the Fourth Proportional to 3,569.89, 5,352.55 and 1,717.32

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Solution

The fourth proportional to 3,569.89, 5,352.55 and 1,717.32 is: 2,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.89 : 5,352.55 = 1,717.32 : x
  2. Step 2: Convert to fraction form
    3,569.89/5,352.55 = 1,717.32/x
  3. Step 3: Cross multiply
    3,569.89x = 5,352.55 × 1,717.32
  4. Step 4: Simplify right side
    3,569.89x = 9,192,041.17
  5. Step 5: Solve for x
    x = 9,192,041.17/3,569.89
  6. Step 6: Final answer
    x = 2,574.88

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Why These Related Problems?

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