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Finding the Fourth Proportional to 4,934.30, 7,401.52 and 1,647.40

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Solution

The fourth proportional to 4,934.30, 7,401.52 and 1,647.40 is: 2,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.30 : 7,401.52 = 1,647.40 : x
  2. Step 2: Convert to fraction form
    4,934.30/7,401.52 = 1,647.40/x
  3. Step 3: Cross multiply
    4,934.30x = 7,401.52 × 1,647.40
  4. Step 4: Simplify right side
    4,934.30x = 12,193,241.43
  5. Step 5: Solve for x
    x = 12,193,241.43/4,934.30
  6. Step 6: Final answer
    x = 2,471.12

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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.