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Finding the Fourth Proportional to 5,764.86, 8,649.12 and 2,646.24

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Solution

The fourth proportional to 5,764.86, 8,649.12 and 2,646.24 is: 3,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.86 : 8,649.12 = 2,646.24 : x
  2. Step 2: Convert to fraction form
    5,764.86/8,649.12 = 2,646.24/x
  3. Step 3: Cross multiply
    5,764.86x = 8,649.12 × 2,646.24
  4. Step 4: Simplify right side
    5,764.86x = 22,887,647.31
  5. Step 5: Solve for x
    x = 22,887,647.31/5,764.86
  6. Step 6: Final answer
    x = 3,970.20

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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.