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Finding the Fourth Proportional to 5,548.98, 7,657.62 and 3,031.14

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Solution

The fourth proportional to 5,548.98, 7,657.62 and 3,031.14 is: 4,182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.98 : 7,657.62 = 3,031.14 : x
  2. Step 2: Convert to fraction form
    5,548.98/7,657.62 = 3,031.14/x
  3. Step 3: Cross multiply
    5,548.98x = 7,657.62 × 3,031.14
  4. Step 4: Simplify right side
    5,548.98x = 23,211,318.29
  5. Step 5: Solve for x
    x = 23,211,318.29/5,548.98
  6. Step 6: Final answer
    x = 4,182.99

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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.