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Finding the Fourth Proportional to 3,473.42, 5,210.90 and 1,008.34

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Solution

The fourth proportional to 3,473.42, 5,210.90 and 1,008.34 is: 1,512.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.42 : 5,210.90 = 1,008.34 : x
  2. Step 2: Convert to fraction form
    3,473.42/5,210.90 = 1,008.34/x
  3. Step 3: Cross multiply
    3,473.42x = 5,210.90 × 1,008.34
  4. Step 4: Simplify right side
    3,473.42x = 5,254,358.91
  5. Step 5: Solve for x
    x = 5,254,358.91/3,473.42
  6. Step 6: Final answer
    x = 1,512.73

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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.