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Finding the Fourth Proportional to 4,811.40, 7,217.10 and 4,301.10

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Solution

The fourth proportional to 4,811.40, 7,217.10 and 4,301.10 is: 6,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.40 : 7,217.10 = 4,301.10 : x
  2. Step 2: Convert to fraction form
    4,811.40/7,217.10 = 4,301.10/x
  3. Step 3: Cross multiply
    4,811.40x = 7,217.10 × 4,301.10
  4. Step 4: Simplify right side
    4,811.40x = 31,041,468.81
  5. Step 5: Solve for x
    x = 31,041,468.81/4,811.40
  6. Step 6: Final answer
    x = 6,451.65

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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.