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Finding the Fourth Proportional to 4,641.08, 6,402.42 and 3,380.18

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Solution

The fourth proportional to 4,641.08, 6,402.42 and 3,380.18 is: 4,662.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.08 : 6,402.42 = 3,380.18 : x
  2. Step 2: Convert to fraction form
    4,641.08/6,402.42 = 3,380.18/x
  3. Step 3: Cross multiply
    4,641.08x = 6,402.42 × 3,380.18
  4. Step 4: Simplify right side
    4,641.08x = 21,641,332.04
  5. Step 5: Solve for x
    x = 21,641,332.04/4,641.08
  6. Step 6: Final answer
    x = 4,662.99

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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.