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Finding the Fourth Proportional to 5,890.93, 8,122.83 and 4,543.49

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Solution

The fourth proportional to 5,890.93, 8,122.83 and 4,543.49 is: 6,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.93 : 8,122.83 = 4,543.49 : x
  2. Step 2: Convert to fraction form
    5,890.93/8,122.83 = 4,543.49/x
  3. Step 3: Cross multiply
    5,890.93x = 8,122.83 × 4,543.49
  4. Step 4: Simplify right side
    5,890.93x = 36,906,025.70
  5. Step 5: Solve for x
    x = 36,906,025.70/5,890.93
  6. Step 6: Final answer
    x = 6,264.89

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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.