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Finding the Fourth Proportional to 3,697.17, 5,100.84 and 2,261

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Solution

The fourth proportional to 3,697.17, 5,100.84 and 2,261 is: 3,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.17 : 5,100.84 = 2,261 : x
  2. Step 2: Convert to fraction form
    3,697.17/5,100.84 = 2,261/x
  3. Step 3: Cross multiply
    3,697.17x = 5,100.84 × 2,261
  4. Step 4: Simplify right side
    3,697.17x = 11,532,999.24
  5. Step 5: Solve for x
    x = 11,532,999.24/3,697.17
  6. Step 6: Final answer
    x = 3,119.41

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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.