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Finding the Fourth Proportional to 3,497.70, 4,827.21 and 2,006.10

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Solution

The fourth proportional to 3,497.70, 4,827.21 and 2,006.10 is: 2,768.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.70 : 4,827.21 = 2,006.10 : x
  2. Step 2: Convert to fraction form
    3,497.70/4,827.21 = 2,006.10/x
  3. Step 3: Cross multiply
    3,497.70x = 4,827.21 × 2,006.10
  4. Step 4: Simplify right side
    3,497.70x = 9,683,865.98
  5. Step 5: Solve for x
    x = 9,683,865.98/3,497.70
  6. Step 6: Final answer
    x = 2,768.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.