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Finding the Fourth Proportional to 4,105.64, 5,663.65 and 2,610.96

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Solution

The fourth proportional to 4,105.64, 5,663.65 and 2,610.96 is: 3,601.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.64 : 5,663.65 = 2,610.96 : x
  2. Step 2: Convert to fraction form
    4,105.64/5,663.65 = 2,610.96/x
  3. Step 3: Cross multiply
    4,105.64x = 5,663.65 × 2,610.96
  4. Step 4: Simplify right side
    4,105.64x = 14,787,549.32
  5. Step 5: Solve for x
    x = 14,787,549.32/4,105.64
  6. Step 6: Final answer
    x = 3,601.77

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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.