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Finding the Fourth Proportional to 5,684.47, 7,844.94 and 3,446.55

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Solution

The fourth proportional to 5,684.47, 7,844.94 and 3,446.55 is: 4,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.47 : 7,844.94 = 3,446.55 : x
  2. Step 2: Convert to fraction form
    5,684.47/7,844.94 = 3,446.55/x
  3. Step 3: Cross multiply
    5,684.47x = 7,844.94 × 3,446.55
  4. Step 4: Simplify right side
    5,684.47x = 27,037,977.96
  5. Step 5: Solve for x
    x = 27,037,977.96/5,684.47
  6. Step 6: Final answer
    x = 4,756.47

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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.