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Finding the Fourth Proportional to 5,503.10, 8,230.65 and 4,922.30

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Solution

The fourth proportional to 5,503.10, 8,230.65 and 4,922.30 is: 7,361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.10 : 8,230.65 = 4,922.30 : x
  2. Step 2: Convert to fraction form
    5,503.10/8,230.65 = 4,922.30/x
  3. Step 3: Cross multiply
    5,503.10x = 8,230.65 × 4,922.30
  4. Step 4: Simplify right side
    5,503.10x = 40,513,728.50
  5. Step 5: Solve for x
    x = 40,513,728.50/5,503.10
  6. Step 6: Final answer
    x = 7,361.98

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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.