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Finding the Fourth Proportional to 3,488.26, 5,232.40 and 891.40

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Solution

The fourth proportional to 3,488.26, 5,232.40 and 891.40 is: 1,337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.26 : 5,232.40 = 891.40 : x
  2. Step 2: Convert to fraction form
    3,488.26/5,232.40 = 891.40/x
  3. Step 3: Cross multiply
    3,488.26x = 5,232.40 × 891.40
  4. Step 4: Simplify right side
    3,488.26x = 4,664,161.36
  5. Step 5: Solve for x
    x = 4,664,161.36/3,488.26
  6. Step 6: Final answer
    x = 1,337.10

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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.