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Finding the Fourth Proportional to 3,992.16, 5,953.07 and 3,715.14

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Solution

The fourth proportional to 3,992.16, 5,953.07 and 3,715.14 is: 5,539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.16 : 5,953.07 = 3,715.14 : x
  2. Step 2: Convert to fraction form
    3,992.16/5,953.07 = 3,715.14/x
  3. Step 3: Cross multiply
    3,992.16x = 5,953.07 × 3,715.14
  4. Step 4: Simplify right side
    3,992.16x = 22,116,488.48
  5. Step 5: Solve for x
    x = 22,116,488.48/3,992.16
  6. Step 6: Final answer
    x = 5,539.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.