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Finding the Fourth Proportional to 5,085, 7,017.84 and 3,317.04

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Solution

The fourth proportional to 5,085, 7,017.84 and 3,317.04 is: 4,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085 : 7,017.84 = 3,317.04 : x
  2. Step 2: Convert to fraction form
    5,085/7,017.84 = 3,317.04/x
  3. Step 3: Cross multiply
    5,085x = 7,017.84 × 3,317.04
  4. Step 4: Simplify right side
    5,085x = 23,278,455.99
  5. Step 5: Solve for x
    x = 23,278,455.99/5,085
  6. Step 6: Final answer
    x = 4,577.87

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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.