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Finding the Fourth Proportional to 3,665.84, 5,059.76 and 2,267.76

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Solution

The fourth proportional to 3,665.84, 5,059.76 and 2,267.76 is: 3,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.84 : 5,059.76 = 2,267.76 : x
  2. Step 2: Convert to fraction form
    3,665.84/5,059.76 = 2,267.76/x
  3. Step 3: Cross multiply
    3,665.84x = 5,059.76 × 2,267.76
  4. Step 4: Simplify right side
    3,665.84x = 11,474,321.34
  5. Step 5: Solve for x
    x = 11,474,321.34/3,665.84
  6. Step 6: Final answer
    x = 3,130.07

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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.