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Finding the Fourth Proportional to 5,497.91, 7,587.12 and 2,980

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Solution

The fourth proportional to 5,497.91, 7,587.12 and 2,980 is: 4,112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.91 : 7,587.12 = 2,980 : x
  2. Step 2: Convert to fraction form
    5,497.91/7,587.12 = 2,980/x
  3. Step 3: Cross multiply
    5,497.91x = 7,587.12 × 2,980
  4. Step 4: Simplify right side
    5,497.91x = 22,609,617.60
  5. Step 5: Solve for x
    x = 22,609,617.60/5,497.91
  6. Step 6: Final answer
    x = 4,112.40

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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.