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Finding the Fourth Proportional to 5,774.26, 7,972.74 and 3,539.18

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Solution

The fourth proportional to 5,774.26, 7,972.74 and 3,539.18 is: 4,886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.26 : 7,972.74 = 3,539.18 : x
  2. Step 2: Convert to fraction form
    5,774.26/7,972.74 = 3,539.18/x
  3. Step 3: Cross multiply
    5,774.26x = 7,972.74 × 3,539.18
  4. Step 4: Simplify right side
    5,774.26x = 28,216,944.26
  5. Step 5: Solve for x
    x = 28,216,944.26/5,774.26
  6. Step 6: Final answer
    x = 4,886.68

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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.