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Finding the Fourth Proportional to 4,412.76, 6,605.10 and 2,771.16

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Solution

The fourth proportional to 4,412.76, 6,605.10 and 2,771.16 is: 4,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,412.76 : 6,605.10 = 2,771.16 : x
  2. Step 2: Convert to fraction form
    4,412.76/6,605.10 = 2,771.16/x
  3. Step 3: Cross multiply
    4,412.76x = 6,605.10 × 2,771.16
  4. Step 4: Simplify right side
    4,412.76x = 18,303,788.92
  5. Step 5: Solve for x
    x = 18,303,788.92/4,412.76
  6. Step 6: Final answer
    x = 4,147.92

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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.