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Finding the Fourth Proportional to 4,967.70, 7,446.06 and 2,775.30

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Solution

The fourth proportional to 4,967.70, 7,446.06 and 2,775.30 is: 4,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.70 : 7,446.06 = 2,775.30 : x
  2. Step 2: Convert to fraction form
    4,967.70/7,446.06 = 2,775.30/x
  3. Step 3: Cross multiply
    4,967.70x = 7,446.06 × 2,775.30
  4. Step 4: Simplify right side
    4,967.70x = 20,665,050.32
  5. Step 5: Solve for x
    x = 20,665,050.32/4,967.70
  6. Step 6: Final answer
    x = 4,159.88

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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.