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Finding the Fourth Proportional to 3,904.78, 5,388.50 and 2,311.51

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Solution

The fourth proportional to 3,904.78, 5,388.50 and 2,311.51 is: 3,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.78 : 5,388.50 = 2,311.51 : x
  2. Step 2: Convert to fraction form
    3,904.78/5,388.50 = 2,311.51/x
  3. Step 3: Cross multiply
    3,904.78x = 5,388.50 × 2,311.51
  4. Step 4: Simplify right side
    3,904.78x = 12,455,566.81
  5. Step 5: Solve for x
    x = 12,455,566.81/3,904.78
  6. Step 6: Final answer
    x = 3,189.82

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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.