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Finding the Fourth Proportional to 4,967.83, 7,451.71 and 1,270.05

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Solution

The fourth proportional to 4,967.83, 7,451.71 and 1,270.05 is: 1,905.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.83 : 7,451.71 = 1,270.05 : x
  2. Step 2: Convert to fraction form
    4,967.83/7,451.71 = 1,270.05/x
  3. Step 3: Cross multiply
    4,967.83x = 7,451.71 × 1,270.05
  4. Step 4: Simplify right side
    4,967.83x = 9,464,045.87
  5. Step 5: Solve for x
    x = 9,464,045.87/4,967.83
  6. Step 6: Final answer
    x = 1,905.07

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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.