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Finding the Fourth Proportional to 3,899.60, 5,841.84 and 1,953.44

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Solution

The fourth proportional to 3,899.60, 5,841.84 and 1,953.44 is: 2,926.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.60 : 5,841.84 = 1,953.44 : x
  2. Step 2: Convert to fraction form
    3,899.60/5,841.84 = 1,953.44/x
  3. Step 3: Cross multiply
    3,899.60x = 5,841.84 × 1,953.44
  4. Step 4: Simplify right side
    3,899.60x = 11,411,683.93
  5. Step 5: Solve for x
    x = 11,411,683.93/3,899.60
  6. Step 6: Final answer
    x = 2,926.37

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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.