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Finding the Fourth Proportional to 5,665.25, 7,818.05 and 3,181.25

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Solution

The fourth proportional to 5,665.25, 7,818.05 and 3,181.25 is: 4,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.25 : 7,818.05 = 3,181.25 : x
  2. Step 2: Convert to fraction form
    5,665.25/7,818.05 = 3,181.25/x
  3. Step 3: Cross multiply
    5,665.25x = 7,818.05 × 3,181.25
  4. Step 4: Simplify right side
    5,665.25x = 24,871,155.66
  5. Step 5: Solve for x
    x = 24,871,155.66/5,665.25
  6. Step 6: Final answer
    x = 4,390.13

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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.