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Finding the Fourth Proportional to 4,674.39, 6,444.59 and 3,874.78

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Solution

The fourth proportional to 4,674.39, 6,444.59 and 3,874.78 is: 5,342.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.39 : 6,444.59 = 3,874.78 : x
  2. Step 2: Convert to fraction form
    4,674.39/6,444.59 = 3,874.78/x
  3. Step 3: Cross multiply
    4,674.39x = 6,444.59 × 3,874.78
  4. Step 4: Simplify right side
    4,674.39x = 24,971,368.44
  5. Step 5: Solve for x
    x = 24,971,368.44/4,674.39
  6. Step 6: Final answer
    x = 5,342.17

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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.