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Finding the Fourth Proportional to 4,967.98, 7,451.90 and 1,270.20

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Solution

The fourth proportional to 4,967.98, 7,451.90 and 1,270.20 is: 1,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.98 : 7,451.90 = 1,270.20 : x
  2. Step 2: Convert to fraction form
    4,967.98/7,451.90 = 1,270.20/x
  3. Step 3: Cross multiply
    4,967.98x = 7,451.90 × 1,270.20
  4. Step 4: Simplify right side
    4,967.98x = 9,465,403.38
  5. Step 5: Solve for x
    x = 9,465,403.38/4,967.98
  6. Step 6: Final answer
    x = 1,905.28

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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.