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Finding the Fourth Proportional to 5,684.48, 7,844.40 and 3,166.59

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Solution

The fourth proportional to 5,684.48, 7,844.40 and 3,166.59 is: 4,369.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.48 : 7,844.40 = 3,166.59 : x
  2. Step 2: Convert to fraction form
    5,684.48/7,844.40 = 3,166.59/x
  3. Step 3: Cross multiply
    5,684.48x = 7,844.40 × 3,166.59
  4. Step 4: Simplify right side
    5,684.48x = 24,839,998.60
  5. Step 5: Solve for x
    x = 24,839,998.60/5,684.48
  6. Step 6: Final answer
    x = 4,369.80

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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.