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Finding the Fourth Proportional to 4,902.22, 6,765.87 and 3,580.30

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Solution

The fourth proportional to 4,902.22, 6,765.87 and 3,580.30 is: 4,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.22 : 6,765.87 = 3,580.30 : x
  2. Step 2: Convert to fraction form
    4,902.22/6,765.87 = 3,580.30/x
  3. Step 3: Cross multiply
    4,902.22x = 6,765.87 × 3,580.30
  4. Step 4: Simplify right side
    4,902.22x = 24,223,844.36
  5. Step 5: Solve for x
    x = 24,223,844.36/4,902.22
  6. Step 6: Final answer
    x = 4,941.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.