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Finding the Fourth Proportional to 4,648.19, 6,963.02 and 3,401.41

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Solution

The fourth proportional to 4,648.19, 6,963.02 and 3,401.41 is: 5,095.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.19 : 6,963.02 = 3,401.41 : x
  2. Step 2: Convert to fraction form
    4,648.19/6,963.02 = 3,401.41/x
  3. Step 3: Cross multiply
    4,648.19x = 6,963.02 × 3,401.41
  4. Step 4: Simplify right side
    4,648.19x = 23,684,051.04
  5. Step 5: Solve for x
    x = 23,684,051.04/4,648.19
  6. Step 6: Final answer
    x = 5,095.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.