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Finding the Fourth Proportional to 4,103.72, 6,143.02 and 3,316.40

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Solution

The fourth proportional to 4,103.72, 6,143.02 and 3,316.40 is: 4,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.72 : 6,143.02 = 3,316.40 : x
  2. Step 2: Convert to fraction form
    4,103.72/6,143.02 = 3,316.40/x
  3. Step 3: Cross multiply
    4,103.72x = 6,143.02 × 3,316.40
  4. Step 4: Simplify right side
    4,103.72x = 20,372,711.53
  5. Step 5: Solve for x
    x = 20,372,711.53/4,103.72
  6. Step 6: Final answer
    x = 4,964.45

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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.