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Finding the Fourth Proportional to 3,548.57, 5,324.51 and 1,356.58

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Solution

The fourth proportional to 3,548.57, 5,324.51 and 1,356.58 is: 2,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.57 : 5,324.51 = 1,356.58 : x
  2. Step 2: Convert to fraction form
    3,548.57/5,324.51 = 1,356.58/x
  3. Step 3: Cross multiply
    3,548.57x = 5,324.51 × 1,356.58
  4. Step 4: Simplify right side
    3,548.57x = 7,223,123.78
  5. Step 5: Solve for x
    x = 7,223,123.78/3,548.57
  6. Step 6: Final answer
    x = 2,035.50

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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.