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Finding the Fourth Proportional to 5,666.27, 7,810.36 and 3,848.73

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Solution

The fourth proportional to 5,666.27, 7,810.36 and 3,848.73 is: 5,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.27 : 7,810.36 = 3,848.73 : x
  2. Step 2: Convert to fraction form
    5,666.27/7,810.36 = 3,848.73/x
  3. Step 3: Cross multiply
    5,666.27x = 7,810.36 × 3,848.73
  4. Step 4: Simplify right side
    5,666.27x = 30,059,918.17
  5. Step 5: Solve for x
    x = 30,059,918.17/5,666.27
  6. Step 6: Final answer
    x = 5,305.07

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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.