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Finding the Fourth Proportional to 4,853.84, 6,691.23 and 3,433.10

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Solution

The fourth proportional to 4,853.84, 6,691.23 and 3,433.10 is: 4,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.84 : 6,691.23 = 3,433.10 : x
  2. Step 2: Convert to fraction form
    4,853.84/6,691.23 = 3,433.10/x
  3. Step 3: Cross multiply
    4,853.84x = 6,691.23 × 3,433.10
  4. Step 4: Simplify right side
    4,853.84x = 22,971,661.71
  5. Step 5: Solve for x
    x = 22,971,661.71/4,853.84
  6. Step 6: Final answer
    x = 4,732.68

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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.