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Finding the Fourth Proportional to 3,471.42, 5,207.90 and 1,006.34

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Solution

The fourth proportional to 3,471.42, 5,207.90 and 1,006.34 is: 1,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.42 : 5,207.90 = 1,006.34 : x
  2. Step 2: Convert to fraction form
    3,471.42/5,207.90 = 1,006.34/x
  3. Step 3: Cross multiply
    3,471.42x = 5,207.90 × 1,006.34
  4. Step 4: Simplify right side
    3,471.42x = 5,240,887.01
  5. Step 5: Solve for x
    x = 5,240,887.01/3,471.42
  6. Step 6: Final answer
    x = 1,509.72

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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.