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Finding the Fourth Proportional to 5,127.78, 7,691.70 and 1,841.40

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Solution

The fourth proportional to 5,127.78, 7,691.70 and 1,841.40 is: 2,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.78 : 7,691.70 = 1,841.40 : x
  2. Step 2: Convert to fraction form
    5,127.78/7,691.70 = 1,841.40/x
  3. Step 3: Cross multiply
    5,127.78x = 7,691.70 × 1,841.40
  4. Step 4: Simplify right side
    5,127.78x = 14,163,496.38
  5. Step 5: Solve for x
    x = 14,163,496.38/5,127.78
  6. Step 6: Final answer
    x = 2,762.11

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