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Finding the Fourth Proportional to 4,967.48, 7,451.20 and 1,269.71

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Solution

The fourth proportional to 4,967.48, 7,451.20 and 1,269.71 is: 1,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.48 : 7,451.20 = 1,269.71 : x
  2. Step 2: Convert to fraction form
    4,967.48/7,451.20 = 1,269.71/x
  3. Step 3: Cross multiply
    4,967.48x = 7,451.20 × 1,269.71
  4. Step 4: Simplify right side
    4,967.48x = 9,460,819.55
  5. Step 5: Solve for x
    x = 9,460,819.55/4,967.48
  6. Step 6: Final answer
    x = 1,904.55

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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.