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Finding the Fourth Proportional to 3,497.40, 5,246.10 and 1,305.69

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Solution

The fourth proportional to 3,497.40, 5,246.10 and 1,305.69 is: 1,958.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.40 : 5,246.10 = 1,305.69 : x
  2. Step 2: Convert to fraction form
    3,497.40/5,246.10 = 1,305.69/x
  3. Step 3: Cross multiply
    3,497.40x = 5,246.10 × 1,305.69
  4. Step 4: Simplify right side
    3,497.40x = 6,849,780.31
  5. Step 5: Solve for x
    x = 6,849,780.31/3,497.40
  6. Step 6: Final answer
    x = 1,958.54

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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.