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Finding the Fourth Proportional to 3,494.80, 5,237.54 and 1,301.32

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Solution

The fourth proportional to 3,494.80, 5,237.54 and 1,301.32 is: 1,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.80 : 5,237.54 = 1,301.32 : x
  2. Step 2: Convert to fraction form
    3,494.80/5,237.54 = 1,301.32/x
  3. Step 3: Cross multiply
    3,494.80x = 5,237.54 × 1,301.32
  4. Step 4: Simplify right side
    3,494.80x = 6,815,715.55
  5. Step 5: Solve for x
    x = 6,815,715.55/3,494.80
  6. Step 6: Final answer
    x = 1,950.24

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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.