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Finding the Fourth Proportional to 3,471.95, 5,206.83 and 1,006.94

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Solution

The fourth proportional to 3,471.95, 5,206.83 and 1,006.94 is: 1,510.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.95 : 5,206.83 = 1,006.94 : x
  2. Step 2: Convert to fraction form
    3,471.95/5,206.83 = 1,006.94/x
  3. Step 3: Cross multiply
    3,471.95x = 5,206.83 × 1,006.94
  4. Step 4: Simplify right side
    3,471.95x = 5,242,939.37
  5. Step 5: Solve for x
    x = 5,242,939.37/3,471.95
  6. Step 6: Final answer
    x = 1,510.09

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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.