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Finding the Fourth Proportional to 5,586.86, 7,710.05 and 3,229.00

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Solution

The fourth proportional to 5,586.86, 7,710.05 and 3,229.00 is: 4,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.86 : 7,710.05 = 3,229.00 : x
  2. Step 2: Convert to fraction form
    5,586.86/7,710.05 = 3,229.00/x
  3. Step 3: Cross multiply
    5,586.86x = 7,710.05 × 3,229.00
  4. Step 4: Simplify right side
    5,586.86x = 24,895,740.25
  5. Step 5: Solve for x
    x = 24,895,740.25/5,586.86
  6. Step 6: Final answer
    x = 4,456.12

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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.