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Finding the Fourth Proportional to 4,967.87, 7,451.78 and 1,270.10

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Solution

The fourth proportional to 4,967.87, 7,451.78 and 1,270.10 is: 1,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.87 : 7,451.78 = 1,270.10 : x
  2. Step 2: Convert to fraction form
    4,967.87/7,451.78 = 1,270.10/x
  3. Step 3: Cross multiply
    4,967.87x = 7,451.78 × 1,270.10
  4. Step 4: Simplify right side
    4,967.87x = 9,464,471.69
  5. Step 5: Solve for x
    x = 9,464,471.69/4,967.87
  6. Step 6: Final answer
    x = 1,905.14

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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.