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Finding the Fourth Proportional to 4,562.77, 6,296.60 and 2,466.89

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Solution

The fourth proportional to 4,562.77, 6,296.60 and 2,466.89 is: 3,404.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.77 : 6,296.60 = 2,466.89 : x
  2. Step 2: Convert to fraction form
    4,562.77/6,296.60 = 2,466.89/x
  3. Step 3: Cross multiply
    4,562.77x = 6,296.60 × 2,466.89
  4. Step 4: Simplify right side
    4,562.77x = 15,533,007.24
  5. Step 5: Solve for x
    x = 15,533,007.24/4,562.77
  6. Step 6: Final answer
    x = 3,404.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.