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Finding the Fourth Proportional to 5,835.90, 8,064.03 and 4,436.22

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Solution

The fourth proportional to 5,835.90, 8,064.03 and 4,436.22 is: 6,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.90 : 8,064.03 = 4,436.22 : x
  2. Step 2: Convert to fraction form
    5,835.90/8,064.03 = 4,436.22/x
  3. Step 3: Cross multiply
    5,835.90x = 8,064.03 × 4,436.22
  4. Step 4: Simplify right side
    5,835.90x = 35,773,811.17
  5. Step 5: Solve for x
    x = 35,773,811.17/5,835.90
  6. Step 6: Final answer
    x = 6,129.96

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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.