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Finding the Fourth Proportional to 3,291.84, 4,945.05 and 2,810.70

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Solution

The fourth proportional to 3,291.84, 4,945.05 and 2,810.70 is: 4,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.84 : 4,945.05 = 2,810.70 : x
  2. Step 2: Convert to fraction form
    3,291.84/4,945.05 = 2,810.70/x
  3. Step 3: Cross multiply
    3,291.84x = 4,945.05 × 2,810.70
  4. Step 4: Simplify right side
    3,291.84x = 13,899,052.04
  5. Step 5: Solve for x
    x = 13,899,052.04/3,291.84
  6. Step 6: Final answer
    x = 4,222.27

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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.