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Finding the Fourth Proportional to 3,296.61, 4,547.22 and 2,301.53

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Solution

The fourth proportional to 3,296.61, 4,547.22 and 2,301.53 is: 3,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.61 : 4,547.22 = 2,301.53 : x
  2. Step 2: Convert to fraction form
    3,296.61/4,547.22 = 2,301.53/x
  3. Step 3: Cross multiply
    3,296.61x = 4,547.22 × 2,301.53
  4. Step 4: Simplify right side
    3,296.61x = 10,465,540.51
  5. Step 5: Solve for x
    x = 10,465,540.51/3,296.61
  6. Step 6: Final answer
    x = 3,174.64

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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.