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Finding the Fourth Proportional to 5,774.76, 7,967.97 and 3,537.14

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Solution

The fourth proportional to 5,774.76, 7,967.97 and 3,537.14 is: 4,880.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.76 : 7,967.97 = 3,537.14 : x
  2. Step 2: Convert to fraction form
    5,774.76/7,967.97 = 3,537.14/x
  3. Step 3: Cross multiply
    5,774.76x = 7,967.97 × 3,537.14
  4. Step 4: Simplify right side
    5,774.76x = 28,183,785.57
  5. Step 5: Solve for x
    x = 28,183,785.57/5,774.76
  6. Step 6: Final answer
    x = 4,880.51

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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.