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Finding the Fourth Proportional to 3,538.74, 4,883.22 and 1,945.35

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Solution

The fourth proportional to 3,538.74, 4,883.22 and 1,945.35 is: 2,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.74 : 4,883.22 = 1,945.35 : x
  2. Step 2: Convert to fraction form
    3,538.74/4,883.22 = 1,945.35/x
  3. Step 3: Cross multiply
    3,538.74x = 4,883.22 × 1,945.35
  4. Step 4: Simplify right side
    3,538.74x = 9,499,572.03
  5. Step 5: Solve for x
    x = 9,499,572.03/3,538.74
  6. Step 6: Final answer
    x = 2,684.45

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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.