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Finding the Fourth Proportional to 5,945.00, 8,202.47 and 3,585.47

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Solution

The fourth proportional to 5,945.00, 8,202.47 and 3,585.47 is: 4,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.00 : 8,202.47 = 3,585.47 : x
  2. Step 2: Convert to fraction form
    5,945.00/8,202.47 = 3,585.47/x
  3. Step 3: Cross multiply
    5,945.00x = 8,202.47 × 3,585.47
  4. Step 4: Simplify right side
    5,945.00x = 29,409,651.17
  5. Step 5: Solve for x
    x = 29,409,651.17/5,945.00
  6. Step 6: Final answer
    x = 4,946.96

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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.