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Finding the Fourth Proportional to 3,417.54, 5,123.16 and 1,338.96

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Solution

The fourth proportional to 3,417.54, 5,123.16 and 1,338.96 is: 2,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.54 : 5,123.16 = 1,338.96 : x
  2. Step 2: Convert to fraction form
    3,417.54/5,123.16 = 1,338.96/x
  3. Step 3: Cross multiply
    3,417.54x = 5,123.16 × 1,338.96
  4. Step 4: Simplify right side
    3,417.54x = 6,859,706.31
  5. Step 5: Solve for x
    x = 6,859,706.31/3,417.54
  6. Step 6: Final answer
    x = 2,007.21

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1.5x scale

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.