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Finding the Fourth Proportional to 3,106.97, 4,661.96 and 1,547.11

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Solution

The fourth proportional to 3,106.97, 4,661.96 and 1,547.11 is: 2,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.97 : 4,661.96 = 1,547.11 : x
  2. Step 2: Convert to fraction form
    3,106.97/4,661.96 = 1,547.11/x
  3. Step 3: Cross multiply
    3,106.97x = 4,661.96 × 1,547.11
  4. Step 4: Simplify right side
    3,106.97x = 7,212,564.94
  5. Step 5: Solve for x
    x = 7,212,564.94/3,106.97
  6. Step 6: Final answer
    x = 2,321.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.