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Finding the Fourth Proportional to 3,569.99, 4,926.49 and 2,078.17

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Solution

The fourth proportional to 3,569.99, 4,926.49 and 2,078.17 is: 2,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.99 : 4,926.49 = 2,078.17 : x
  2. Step 2: Convert to fraction form
    3,569.99/4,926.49 = 2,078.17/x
  3. Step 3: Cross multiply
    3,569.99x = 4,926.49 × 2,078.17
  4. Step 4: Simplify right side
    3,569.99x = 10,238,066.21
  5. Step 5: Solve for x
    x = 10,238,066.21/3,569.99
  6. Step 6: Final answer
    x = 2,867.82

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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.