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Finding the Fourth Proportional to 3,663.84, 5,056.24 and 2,091.52

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Solution

The fourth proportional to 3,663.84, 5,056.24 and 2,091.52 is: 2,886.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.84 : 5,056.24 = 2,091.52 : x
  2. Step 2: Convert to fraction form
    3,663.84/5,056.24 = 2,091.52/x
  3. Step 3: Cross multiply
    3,663.84x = 5,056.24 × 2,091.52
  4. Step 4: Simplify right side
    3,663.84x = 10,575,227.08
  5. Step 5: Solve for x
    x = 10,575,227.08/3,663.84
  6. Step 6: Final answer
    x = 2,886.38

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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.