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Finding the Fourth Proportional to 3,462.85, 4,776.60 and 2,468.45

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Solution

The fourth proportional to 3,462.85, 4,776.60 and 2,468.45 is: 3,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.85 : 4,776.60 = 2,468.45 : x
  2. Step 2: Convert to fraction form
    3,462.85/4,776.60 = 2,468.45/x
  3. Step 3: Cross multiply
    3,462.85x = 4,776.60 × 2,468.45
  4. Step 4: Simplify right side
    3,462.85x = 11,790,798.27
  5. Step 5: Solve for x
    x = 11,790,798.27/3,462.85
  6. Step 6: Final answer
    x = 3,404.94

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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.