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Finding the Fourth Proportional to 5,471.02, 8,200.05 and 4,823.02

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Solution

The fourth proportional to 5,471.02, 8,200.05 and 4,823.02 is: 7,228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.02 : 8,200.05 = 4,823.02 : x
  2. Step 2: Convert to fraction form
    5,471.02/8,200.05 = 4,823.02/x
  3. Step 3: Cross multiply
    5,471.02x = 8,200.05 × 4,823.02
  4. Step 4: Simplify right side
    5,471.02x = 39,549,005.15
  5. Step 5: Solve for x
    x = 39,549,005.15/5,471.02
  6. Step 6: Final answer
    x = 7,228.82

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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.