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Finding the Fourth Proportional to 3,715.02, 5,129.10 and 3,315.98

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Solution

The fourth proportional to 3,715.02, 5,129.10 and 3,315.98 is: 4,578.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.02 : 5,129.10 = 3,315.98 : x
  2. Step 2: Convert to fraction form
    3,715.02/5,129.10 = 3,315.98/x
  3. Step 3: Cross multiply
    3,715.02x = 5,129.10 × 3,315.98
  4. Step 4: Simplify right side
    3,715.02x = 17,007,993.02
  5. Step 5: Solve for x
    x = 17,007,993.02/3,715.02
  6. Step 6: Final answer
    x = 4,578.17

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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.