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Finding the Fourth Proportional to 5,102.25, 7,041.11 and 2,894.25

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Solution

The fourth proportional to 5,102.25, 7,041.11 and 2,894.25 is: 3,994.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.25 : 7,041.11 = 2,894.25 : x
  2. Step 2: Convert to fraction form
    5,102.25/7,041.11 = 2,894.25/x
  3. Step 3: Cross multiply
    5,102.25x = 7,041.11 × 2,894.25
  4. Step 4: Simplify right side
    5,102.25x = 20,378,718.15
  5. Step 5: Solve for x
    x = 20,378,718.15/5,102.25
  6. Step 6: Final answer
    x = 3,994.07

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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.