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Finding the Fourth Proportional to 5,293.95, 7,305.71 and 3,305.66

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Solution

The fourth proportional to 5,293.95, 7,305.71 and 3,305.66 is: 4,561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.95 : 7,305.71 = 3,305.66 : x
  2. Step 2: Convert to fraction form
    5,293.95/7,305.71 = 3,305.66/x
  3. Step 3: Cross multiply
    5,293.95x = 7,305.71 × 3,305.66
  4. Step 4: Simplify right side
    5,293.95x = 24,150,192.75
  5. Step 5: Solve for x
    x = 24,150,192.75/5,293.95
  6. Step 6: Final answer
    x = 4,561.85

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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.