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Finding the Fourth Proportional to 3,886.92, 5,825.16 and 1,777.14

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Solution

The fourth proportional to 3,886.92, 5,825.16 and 1,777.14 is: 2,663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.92 : 5,825.16 = 1,777.14 : x
  2. Step 2: Convert to fraction form
    3,886.92/5,825.16 = 1,777.14/x
  3. Step 3: Cross multiply
    3,886.92x = 5,825.16 × 1,777.14
  4. Step 4: Simplify right side
    3,886.92x = 10,352,124.84
  5. Step 5: Solve for x
    x = 10,352,124.84/3,886.92
  6. Step 6: Final answer
    x = 2,663.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.