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Finding the Fourth Proportional to 4,711.29, 7,066.02 and 1,423.62

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Solution

The fourth proportional to 4,711.29, 7,066.02 and 1,423.62 is: 2,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.29 : 7,066.02 = 1,423.62 : x
  2. Step 2: Convert to fraction form
    4,711.29/7,066.02 = 1,423.62/x
  3. Step 3: Cross multiply
    4,711.29x = 7,066.02 × 1,423.62
  4. Step 4: Simplify right side
    4,711.29x = 10,059,327.39
  5. Step 5: Solve for x
    x = 10,059,327.39/4,711.29
  6. Step 6: Final answer
    x = 2,135.15

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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.