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Finding the Fourth Proportional to 5,848.77, 8,072.13 and 3,723.63

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Solution

The fourth proportional to 5,848.77, 8,072.13 and 3,723.63 is: 5,139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.77 : 8,072.13 = 3,723.63 : x
  2. Step 2: Convert to fraction form
    5,848.77/8,072.13 = 3,723.63/x
  3. Step 3: Cross multiply
    5,848.77x = 8,072.13 × 3,723.63
  4. Step 4: Simplify right side
    5,848.77x = 30,057,602.14
  5. Step 5: Solve for x
    x = 30,057,602.14/5,848.77
  6. Step 6: Final answer
    x = 5,139.13

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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.