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Finding the Fourth Proportional to 3,471.42, 5,207.88 and 1,006.35

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Solution

The fourth proportional to 3,471.42, 5,207.88 and 1,006.35 is: 1,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.42 : 5,207.88 = 1,006.35 : x
  2. Step 2: Convert to fraction form
    3,471.42/5,207.88 = 1,006.35/x
  3. Step 3: Cross multiply
    3,471.42x = 5,207.88 × 1,006.35
  4. Step 4: Simplify right side
    3,471.42x = 5,240,950.04
  5. Step 5: Solve for x
    x = 5,240,950.04/3,471.42
  6. Step 6: Final answer
    x = 1,509.74

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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.