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Finding the Fourth Proportional to 3,471.02, 5,205.71 and 1,005.18

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Solution

The fourth proportional to 3,471.02, 5,205.71 and 1,005.18 is: 1,507.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.02 : 5,205.71 = 1,005.18 : x
  2. Step 2: Convert to fraction form
    3,471.02/5,205.71 = 1,005.18/x
  3. Step 3: Cross multiply
    3,471.02x = 5,205.71 × 1,005.18
  4. Step 4: Simplify right side
    3,471.02x = 5,232,670.55
  5. Step 5: Solve for x
    x = 5,232,670.55/3,471.02
  6. Step 6: Final answer
    x = 1,507.53

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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.