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Finding the Fourth Proportional to 4,329.14, 5,974.02 and 2,653.38

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Solution

The fourth proportional to 4,329.14, 5,974.02 and 2,653.38 is: 3,661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.14 : 5,974.02 = 2,653.38 : x
  2. Step 2: Convert to fraction form
    4,329.14/5,974.02 = 2,653.38/x
  3. Step 3: Cross multiply
    4,329.14x = 5,974.02 × 2,653.38
  4. Step 4: Simplify right side
    4,329.14x = 15,851,345.19
  5. Step 5: Solve for x
    x = 15,851,345.19/4,329.14
  6. Step 6: Final answer
    x = 3,661.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.