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Finding the Fourth Proportional to 3,663.80, 5,057 and 2,265.76

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Solution

The fourth proportional to 3,663.80, 5,057 and 2,265.76 is: 3,127.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.80 : 5,057 = 2,265.76 : x
  2. Step 2: Convert to fraction form
    3,663.80/5,057 = 2,265.76/x
  3. Step 3: Cross multiply
    3,663.80x = 5,057 × 2,265.76
  4. Step 4: Simplify right side
    3,663.80x = 11,457,948.32
  5. Step 5: Solve for x
    x = 11,457,948.32/3,663.80
  6. Step 6: Final answer
    x = 3,127.34

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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.