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Finding the Fourth Proportional to 5,777.64, 7,965.86 and 3,785.04

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Solution

The fourth proportional to 5,777.64, 7,965.86 and 3,785.04 is: 5,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.64 : 7,965.86 = 3,785.04 : x
  2. Step 2: Convert to fraction form
    5,777.64/7,965.86 = 3,785.04/x
  3. Step 3: Cross multiply
    5,777.64x = 7,965.86 × 3,785.04
  4. Step 4: Simplify right side
    5,777.64x = 30,151,079.81
  5. Step 5: Solve for x
    x = 30,151,079.81/5,777.64
  6. Step 6: Final answer
    x = 5,218.58

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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.