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Finding the Fourth Proportional to 3,531.74, 5,297.65 and 899.25

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Solution

The fourth proportional to 3,531.74, 5,297.65 and 899.25 is: 1,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.74 : 5,297.65 = 899.25 : x
  2. Step 2: Convert to fraction form
    3,531.74/5,297.65 = 899.25/x
  3. Step 3: Cross multiply
    3,531.74x = 5,297.65 × 899.25
  4. Step 4: Simplify right side
    3,531.74x = 4,763,911.76
  5. Step 5: Solve for x
    x = 4,763,911.76/3,531.74
  6. Step 6: Final answer
    x = 1,348.89

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Similar ratio
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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.