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Finding the Fourth Proportional to 3,491.51, 5,235.64 and 1,299.65

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Solution

The fourth proportional to 3,491.51, 5,235.64 and 1,299.65 is: 1,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.51 : 5,235.64 = 1,299.65 : x
  2. Step 2: Convert to fraction form
    3,491.51/5,235.64 = 1,299.65/x
  3. Step 3: Cross multiply
    3,491.51x = 5,235.64 × 1,299.65
  4. Step 4: Simplify right side
    3,491.51x = 6,804,470.10
  5. Step 5: Solve for x
    x = 6,804,470.10/3,491.51
  6. Step 6: Final answer
    x = 1,948.86

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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.