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Finding the Fourth Proportional to 3,497.84, 5,243.28 and 1,305.92

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Solution

The fourth proportional to 3,497.84, 5,243.28 and 1,305.92 is: 1,957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.84 : 5,243.28 = 1,305.92 : x
  2. Step 2: Convert to fraction form
    3,497.84/5,243.28 = 1,305.92/x
  3. Step 3: Cross multiply
    3,497.84x = 5,243.28 × 1,305.92
  4. Step 4: Simplify right side
    3,497.84x = 6,847,304.22
  5. Step 5: Solve for x
    x = 6,847,304.22/3,497.84
  6. Step 6: Final answer
    x = 1,957.58

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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.