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Finding the Fourth Proportional to 5,857.50, 8,083.38 and 4,366.74

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Solution

The fourth proportional to 5,857.50, 8,083.38 and 4,366.74 is: 6,026.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.50 : 8,083.38 = 4,366.74 : x
  2. Step 2: Convert to fraction form
    5,857.50/8,083.38 = 4,366.74/x
  3. Step 3: Cross multiply
    5,857.50x = 8,083.38 × 4,366.74
  4. Step 4: Simplify right side
    5,857.50x = 35,298,018.78
  5. Step 5: Solve for x
    x = 35,298,018.78/5,857.50
  6. Step 6: Final answer
    x = 6,026.12

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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.