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Finding the Fourth Proportional to 4,721.68, 7,082.62 and 1,434.76

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Solution

The fourth proportional to 4,721.68, 7,082.62 and 1,434.76 is: 2,152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,721.68 : 7,082.62 = 1,434.76 : x
  2. Step 2: Convert to fraction form
    4,721.68/7,082.62 = 1,434.76/x
  3. Step 3: Cross multiply
    4,721.68x = 7,082.62 × 1,434.76
  4. Step 4: Simplify right side
    4,721.68x = 10,161,859.87
  5. Step 5: Solve for x
    x = 10,161,859.87/4,721.68
  6. Step 6: Final answer
    x = 2,152.17

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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.