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Finding the Fourth Proportional to 4,901.76, 7,362.10 and 4,200.56

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Solution

The fourth proportional to 4,901.76, 7,362.10 and 4,200.56 is: 6,308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.76 : 7,362.10 = 4,200.56 : x
  2. Step 2: Convert to fraction form
    4,901.76/7,362.10 = 4,200.56/x
  3. Step 3: Cross multiply
    4,901.76x = 7,362.10 × 4,200.56
  4. Step 4: Simplify right side
    4,901.76x = 30,924,942.78
  5. Step 5: Solve for x
    x = 30,924,942.78/4,901.76
  6. Step 6: Final answer
    x = 6,308.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.