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Finding the Fourth Proportional to 3,504.74, 5,257.13 and 1,039.58

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Solution

The fourth proportional to 3,504.74, 5,257.13 and 1,039.58 is: 1,559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.74 : 5,257.13 = 1,039.58 : x
  2. Step 2: Convert to fraction form
    3,504.74/5,257.13 = 1,039.58/x
  3. Step 3: Cross multiply
    3,504.74x = 5,257.13 × 1,039.58
  4. Step 4: Simplify right side
    3,504.74x = 5,465,199.33
  5. Step 5: Solve for x
    x = 5,465,199.33/3,504.74
  6. Step 6: Final answer
    x = 1,559.37

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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.