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Finding the Fourth Proportional to 3,536.99, 5,305.49 and 1,345.20

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Solution

The fourth proportional to 3,536.99, 5,305.49 and 1,345.20 is: 2,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.99 : 5,305.49 = 1,345.20 : x
  2. Step 2: Convert to fraction form
    3,536.99/5,305.49 = 1,345.20/x
  3. Step 3: Cross multiply
    3,536.99x = 5,305.49 × 1,345.20
  4. Step 4: Simplify right side
    3,536.99x = 7,136,945.15
  5. Step 5: Solve for x
    x = 7,136,945.15/3,536.99
  6. Step 6: Final answer
    x = 2,017.80

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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.