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Finding the Fourth Proportional to 3,462.33, 4,775.32 and 3,064.42

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Solution

The fourth proportional to 3,462.33, 4,775.32 and 3,064.42 is: 4,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.33 : 4,775.32 = 3,064.42 : x
  2. Step 2: Convert to fraction form
    3,462.33/4,775.32 = 3,064.42/x
  3. Step 3: Cross multiply
    3,462.33x = 4,775.32 × 3,064.42
  4. Step 4: Simplify right side
    3,462.33x = 14,633,586.11
  5. Step 5: Solve for x
    x = 14,633,586.11/3,462.33
  6. Step 6: Final answer
    x = 4,226.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.