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Finding the Fourth Proportional to 5,497.82, 7,587.10 and 2,980.04

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Solution

The fourth proportional to 5,497.82, 7,587.10 and 2,980.04 is: 4,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.82 : 7,587.10 = 2,980.04 : x
  2. Step 2: Convert to fraction form
    5,497.82/7,587.10 = 2,980.04/x
  3. Step 3: Cross multiply
    5,497.82x = 7,587.10 × 2,980.04
  4. Step 4: Simplify right side
    5,497.82x = 22,609,861.48
  5. Step 5: Solve for x
    x = 22,609,861.48/5,497.82
  6. Step 6: Final answer
    x = 4,112.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.