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Finding the Fourth Proportional to 4,604.15, 6,909.74 and 3,374.71

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Solution

The fourth proportional to 4,604.15, 6,909.74 and 3,374.71 is: 5,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.15 : 6,909.74 = 3,374.71 : x
  2. Step 2: Convert to fraction form
    4,604.15/6,909.74 = 3,374.71/x
  3. Step 3: Cross multiply
    4,604.15x = 6,909.74 × 3,374.71
  4. Step 4: Simplify right side
    4,604.15x = 23,318,317.25
  5. Step 5: Solve for x
    x = 23,318,317.25/4,604.15
  6. Step 6: Final answer
    x = 5,064.63

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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.