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Finding the Fourth Proportional to 5,698.77, 7,864.84 and 3,181.11

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Solution

The fourth proportional to 5,698.77, 7,864.84 and 3,181.11 is: 4,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.77 : 7,864.84 = 3,181.11 : x
  2. Step 2: Convert to fraction form
    5,698.77/7,864.84 = 3,181.11/x
  3. Step 3: Cross multiply
    5,698.77x = 7,864.84 × 3,181.11
  4. Step 4: Simplify right side
    5,698.77x = 25,018,905.27
  5. Step 5: Solve for x
    x = 25,018,905.27/5,698.77
  6. Step 6: Final answer
    x = 4,390.23

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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.