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Finding the Fourth Proportional to 5,842.10, 8,750.67 and 5,436.98

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Solution

The fourth proportional to 5,842.10, 8,750.67 and 5,436.98 is: 8,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.10 : 8,750.67 = 5,436.98 : x
  2. Step 2: Convert to fraction form
    5,842.10/8,750.67 = 5,436.98/x
  3. Step 3: Cross multiply
    5,842.10x = 8,750.67 × 5,436.98
  4. Step 4: Simplify right side
    5,842.10x = 47,577,217.78
  5. Step 5: Solve for x
    x = 47,577,217.78/5,842.10
  6. Step 6: Final answer
    x = 8,143.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.