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Finding the Fourth Proportional to 3,497.94, 5,246.92 and 1,306.64

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Solution

The fourth proportional to 3,497.94, 5,246.92 and 1,306.64 is: 1,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.94 : 5,246.92 = 1,306.64 : x
  2. Step 2: Convert to fraction form
    3,497.94/5,246.92 = 1,306.64/x
  3. Step 3: Cross multiply
    3,497.94x = 5,246.92 × 1,306.64
  4. Step 4: Simplify right side
    3,497.94x = 6,855,835.55
  5. Step 5: Solve for x
    x = 6,855,835.55/3,497.94
  6. Step 6: Final answer
    x = 1,959.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.