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Finding the Fourth Proportional to 5,850, 8,079.54 and 4,539.60

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Solution

The fourth proportional to 5,850, 8,079.54 and 4,539.60 is: 6,269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850 : 8,079.54 = 4,539.60 : x
  2. Step 2: Convert to fraction form
    5,850/8,079.54 = 4,539.60/x
  3. Step 3: Cross multiply
    5,850x = 8,079.54 × 4,539.60
  4. Step 4: Simplify right side
    5,850x = 36,677,879.78
  5. Step 5: Solve for x
    x = 36,677,879.78/5,850
  6. Step 6: Final answer
    x = 6,269.72

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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.