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Finding the Fourth Proportional to 3,206.51, 4,423.76 and 1,947.09

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Solution

The fourth proportional to 3,206.51, 4,423.76 and 1,947.09 is: 2,686.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.51 : 4,423.76 = 1,947.09 : x
  2. Step 2: Convert to fraction form
    3,206.51/4,423.76 = 1,947.09/x
  3. Step 3: Cross multiply
    3,206.51x = 4,423.76 × 1,947.09
  4. Step 4: Simplify right side
    3,206.51x = 8,613,459.08
  5. Step 5: Solve for x
    x = 8,613,459.08/3,206.51
  6. Step 6: Final answer
    x = 2,686.24

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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.