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Finding the Fourth Proportional to 3,859.84, 5,775.30 and 2,294.12

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Solution

The fourth proportional to 3,859.84, 5,775.30 and 2,294.12 is: 3,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.84 : 5,775.30 = 2,294.12 : x
  2. Step 2: Convert to fraction form
    3,859.84/5,775.30 = 2,294.12/x
  3. Step 3: Cross multiply
    3,859.84x = 5,775.30 × 2,294.12
  4. Step 4: Simplify right side
    3,859.84x = 13,249,231.24
  5. Step 5: Solve for x
    x = 13,249,231.24/3,859.84
  6. Step 6: Final answer
    x = 3,432.59

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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.