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Finding the Fourth Proportional to 5,774.68, 7,965.28 and 3,982.24

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Solution

The fourth proportional to 5,774.68, 7,965.28 and 3,982.24 is: 5,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.68 : 7,965.28 = 3,982.24 : x
  2. Step 2: Convert to fraction form
    5,774.68/7,965.28 = 3,982.24/x
  3. Step 3: Cross multiply
    5,774.68x = 7,965.28 × 3,982.24
  4. Step 4: Simplify right side
    5,774.68x = 31,719,656.63
  5. Step 5: Solve for x
    x = 31,719,656.63/5,774.68
  6. Step 6: Final answer
    x = 5,492.89

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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.