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Finding the Fourth Proportional to 3,296.46, 4,547.01 and 2,301.37

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Solution

The fourth proportional to 3,296.46, 4,547.01 and 2,301.37 is: 3,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.46 : 4,547.01 = 2,301.37 : x
  2. Step 2: Convert to fraction form
    3,296.46/4,547.01 = 2,301.37/x
  3. Step 3: Cross multiply
    3,296.46x = 4,547.01 × 2,301.37
  4. Step 4: Simplify right side
    3,296.46x = 10,464,369.52
  5. Step 5: Solve for x
    x = 10,464,369.52/3,296.46
  6. Step 6: Final answer
    x = 3,174.43

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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.