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Finding the Fourth Proportional to 8,684.44, 13,030.59 and 3,418

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Solution

The fourth proportional to 8,684.44, 13,030.59 and 3,418 is: 5,128.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.44 : 13,030.59 = 3,418 : x
  2. Step 2: Convert to fraction form
    8,684.44/13,030.59 = 3,418/x
  3. Step 3: Cross multiply
    8,684.44x = 13,030.59 × 3,418
  4. Step 4: Simplify right side
    8,684.44x = 44,538,556.62
  5. Step 5: Solve for x
    x = 44,538,556.62/8,684.44
  6. Step 6: Final answer
    x = 5,128.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.