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Finding the Fourth Proportional to 5,835.22, 8,038.92 and 4,063.66

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Solution

The fourth proportional to 5,835.22, 8,038.92 and 4,063.66 is: 5,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.22 : 8,038.92 = 4,063.66 : x
  2. Step 2: Convert to fraction form
    5,835.22/8,038.92 = 4,063.66/x
  3. Step 3: Cross multiply
    5,835.22x = 8,038.92 × 4,063.66
  4. Step 4: Simplify right side
    5,835.22x = 32,667,437.65
  5. Step 5: Solve for x
    x = 32,667,437.65/5,835.22
  6. Step 6: Final answer
    x = 5,598.32

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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.