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Finding the Fourth Proportional to 5,684.32, 7,844.72 and 3,200.48

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Solution

The fourth proportional to 5,684.32, 7,844.72 and 3,200.48 is: 4,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.32 : 7,844.72 = 3,200.48 : x
  2. Step 2: Convert to fraction form
    5,684.32/7,844.72 = 3,200.48/x
  3. Step 3: Cross multiply
    5,684.32x = 7,844.72 × 3,200.48
  4. Step 4: Simplify right side
    5,684.32x = 25,106,869.47
  5. Step 5: Solve for x
    x = 25,106,869.47/5,684.32
  6. Step 6: Final answer
    x = 4,416.86

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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.