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Finding the Fourth Proportional to 3,486.63, 5,230.62 and 1,406.82

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Solution

The fourth proportional to 3,486.63, 5,230.62 and 1,406.82 is: 2,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.63 : 5,230.62 = 1,406.82 : x
  2. Step 2: Convert to fraction form
    3,486.63/5,230.62 = 1,406.82/x
  3. Step 3: Cross multiply
    3,486.63x = 5,230.62 × 1,406.82
  4. Step 4: Simplify right side
    3,486.63x = 7,358,540.83
  5. Step 5: Solve for x
    x = 7,358,540.83/3,486.63
  6. Step 6: Final answer
    x = 2,110.50

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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.