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Finding the Fourth Proportional to 5,339.86, 7,998.62 and 4,294.20

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Solution

The fourth proportional to 5,339.86, 7,998.62 and 4,294.20 is: 6,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.86 : 7,998.62 = 4,294.20 : x
  2. Step 2: Convert to fraction form
    5,339.86/7,998.62 = 4,294.20/x
  3. Step 3: Cross multiply
    5,339.86x = 7,998.62 × 4,294.20
  4. Step 4: Simplify right side
    5,339.86x = 34,347,674.00
  5. Step 5: Solve for x
    x = 34,347,674.00/5,339.86
  6. Step 6: Final answer
    x = 6,432.32

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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.