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Finding the Fourth Proportional to 3,465.76, 5,198.58 and 3,342.76

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Solution

The fourth proportional to 3,465.76, 5,198.58 and 3,342.76 is: 5,014.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.76 : 5,198.58 = 3,342.76 : x
  2. Step 2: Convert to fraction form
    3,465.76/5,198.58 = 3,342.76/x
  3. Step 3: Cross multiply
    3,465.76x = 5,198.58 × 3,342.76
  4. Step 4: Simplify right side
    3,465.76x = 17,377,605.28
  5. Step 5: Solve for x
    x = 17,377,605.28/3,465.76
  6. Step 6: Final answer
    x = 5,014.08

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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.