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Finding the Fourth Proportional to 3,899.07, 5,380.82 and 2,328.07

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Solution

The fourth proportional to 3,899.07, 5,380.82 and 2,328.07 is: 3,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.07 : 5,380.82 = 2,328.07 : x
  2. Step 2: Convert to fraction form
    3,899.07/5,380.82 = 2,328.07/x
  3. Step 3: Cross multiply
    3,899.07x = 5,380.82 × 2,328.07
  4. Step 4: Simplify right side
    3,899.07x = 12,526,925.62
  5. Step 5: Solve for x
    x = 12,526,925.62/3,899.07
  6. Step 6: Final answer
    x = 3,212.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.