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Finding the Fourth Proportional to 3,294.83, 4,547.29 and 2,161.46

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Solution

The fourth proportional to 3,294.83, 4,547.29 and 2,161.46 is: 2,983.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.83 : 4,547.29 = 2,161.46 : x
  2. Step 2: Convert to fraction form
    3,294.83/4,547.29 = 2,161.46/x
  3. Step 3: Cross multiply
    3,294.83x = 4,547.29 × 2,161.46
  4. Step 4: Simplify right side
    3,294.83x = 9,828,785.44
  5. Step 5: Solve for x
    x = 9,828,785.44/3,294.83
  6. Step 6: Final answer
    x = 2,983.09

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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.