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Finding the Fourth Proportional to 5,684.34, 7,844.93 and 3,326.48

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Solution

The fourth proportional to 5,684.34, 7,844.93 and 3,326.48 is: 4,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.34 : 7,844.93 = 3,326.48 : x
  2. Step 2: Convert to fraction form
    5,684.34/7,844.93 = 3,326.48/x
  3. Step 3: Cross multiply
    5,684.34x = 7,844.93 × 3,326.48
  4. Step 4: Simplify right side
    5,684.34x = 26,096,023.55
  5. Step 5: Solve for x
    x = 26,096,023.55/5,684.34
  6. Step 6: Final answer
    x = 4,590.86

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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.