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Finding the Fourth Proportional to 4,638.04, 6,959.94 and 3,402.40

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Solution

The fourth proportional to 4,638.04, 6,959.94 and 3,402.40 is: 5,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.04 : 6,959.94 = 3,402.40 : x
  2. Step 2: Convert to fraction form
    4,638.04/6,959.94 = 3,402.40/x
  3. Step 3: Cross multiply
    4,638.04x = 6,959.94 × 3,402.40
  4. Step 4: Simplify right side
    4,638.04x = 23,680,499.86
  5. Step 5: Solve for x
    x = 23,680,499.86/4,638.04
  6. Step 6: Final answer
    x = 5,105.71

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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.