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Finding the Fourth Proportional to 3,478.01, 4,801.88 and 3,104.35

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Solution

The fourth proportional to 3,478.01, 4,801.88 and 3,104.35 is: 4,285.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.01 : 4,801.88 = 3,104.35 : x
  2. Step 2: Convert to fraction form
    3,478.01/4,801.88 = 3,104.35/x
  3. Step 3: Cross multiply
    3,478.01x = 4,801.88 × 3,104.35
  4. Step 4: Simplify right side
    3,478.01x = 14,906,711.93
  5. Step 5: Solve for x
    x = 14,906,711.93/3,478.01
  6. Step 6: Final answer
    x = 4,285.99

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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.