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Finding the Fourth Proportional to 3,206.79, 4,810.69 and 1,357.92

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Solution

The fourth proportional to 3,206.79, 4,810.69 and 1,357.92 is: 2,037.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.79 : 4,810.69 = 1,357.92 : x
  2. Step 2: Convert to fraction form
    3,206.79/4,810.69 = 1,357.92/x
  3. Step 3: Cross multiply
    3,206.79x = 4,810.69 × 1,357.92
  4. Step 4: Simplify right side
    3,206.79x = 6,532,508.11
  5. Step 5: Solve for x
    x = 6,532,508.11/3,206.79
  6. Step 6: Final answer
    x = 2,037.09

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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.