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Finding the Fourth Proportional to 5,659.85, 8,484.50 and 5,192.76

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Solution

The fourth proportional to 5,659.85, 8,484.50 and 5,192.76 is: 7,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.85 : 8,484.50 = 5,192.76 : x
  2. Step 2: Convert to fraction form
    5,659.85/8,484.50 = 5,192.76/x
  3. Step 3: Cross multiply
    5,659.85x = 8,484.50 × 5,192.76
  4. Step 4: Simplify right side
    5,659.85x = 44,057,940.08
  5. Step 5: Solve for x
    x = 44,057,940.08/5,659.85
  6. Step 6: Final answer
    x = 7,784.30

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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.