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Finding the Fourth Proportional to 6,159.58, 8,497.32 and 4,480.26

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Solution

The fourth proportional to 6,159.58, 8,497.32 and 4,480.26 is: 6,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.58 : 8,497.32 = 4,480.26 : x
  2. Step 2: Convert to fraction form
    6,159.58/8,497.32 = 4,480.26/x
  3. Step 3: Cross multiply
    6,159.58x = 8,497.32 × 4,480.26
  4. Step 4: Simplify right side
    6,159.58x = 38,070,202.90
  5. Step 5: Solve for x
    x = 38,070,202.90/6,159.58
  6. Step 6: Final answer
    x = 6,180.65

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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.