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Finding the Fourth Proportional to 3,904.85, 5,384.66 and 3,347.17

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Solution

The fourth proportional to 3,904.85, 5,384.66 and 3,347.17 is: 4,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.85 : 5,384.66 = 3,347.17 : x
  2. Step 2: Convert to fraction form
    3,904.85/5,384.66 = 3,347.17/x
  3. Step 3: Cross multiply
    3,904.85x = 5,384.66 × 3,347.17
  4. Step 4: Simplify right side
    3,904.85x = 18,023,372.41
  5. Step 5: Solve for x
    x = 18,023,372.41/3,904.85
  6. Step 6: Final answer
    x = 4,615.64

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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.