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Finding the Fourth Proportional to 3,486.77, 5,230.98 and 1,146.81

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Solution

The fourth proportional to 3,486.77, 5,230.98 and 1,146.81 is: 1,720.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.77 : 5,230.98 = 1,146.81 : x
  2. Step 2: Convert to fraction form
    3,486.77/5,230.98 = 1,146.81/x
  3. Step 3: Cross multiply
    3,486.77x = 5,230.98 × 1,146.81
  4. Step 4: Simplify right side
    3,486.77x = 5,998,940.17
  5. Step 5: Solve for x
    x = 5,998,940.17/3,486.77
  6. Step 6: Final answer
    x = 1,720.49

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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.