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Finding the Fourth Proportional to 5,685.44, 7,848.04 and 4,205.27

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Solution

The fourth proportional to 5,685.44, 7,848.04 and 4,205.27 is: 5,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.44 : 7,848.04 = 4,205.27 : x
  2. Step 2: Convert to fraction form
    5,685.44/7,848.04 = 4,205.27/x
  3. Step 3: Cross multiply
    5,685.44x = 7,848.04 × 4,205.27
  4. Step 4: Simplify right side
    5,685.44x = 33,003,127.17
  5. Step 5: Solve for x
    x = 33,003,127.17/5,685.44
  6. Step 6: Final answer
    x = 5,804.85

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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.