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Finding the Fourth Proportional to 3,460.66, 4,764.16 and 3,301.78

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Solution

The fourth proportional to 3,460.66, 4,764.16 and 3,301.78 is: 4,545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.66 : 4,764.16 = 3,301.78 : x
  2. Step 2: Convert to fraction form
    3,460.66/4,764.16 = 3,301.78/x
  3. Step 3: Cross multiply
    3,460.66x = 4,764.16 × 3,301.78
  4. Step 4: Simplify right side
    3,460.66x = 15,730,208.20
  5. Step 5: Solve for x
    x = 15,730,208.20/3,460.66
  6. Step 6: Final answer
    x = 4,545.44

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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.