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Finding the Fourth Proportional to 3,548.58, 5,324.52 and 1,356.57

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Solution

The fourth proportional to 3,548.58, 5,324.52 and 1,356.57 is: 2,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.58 : 5,324.52 = 1,356.57 : x
  2. Step 2: Convert to fraction form
    3,548.58/5,324.52 = 1,356.57/x
  3. Step 3: Cross multiply
    3,548.58x = 5,324.52 × 1,356.57
  4. Step 4: Simplify right side
    3,548.58x = 7,223,084.10
  5. Step 5: Solve for x
    x = 7,223,084.10/3,548.58
  6. Step 6: Final answer
    x = 2,035.49

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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.