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Finding the Fourth Proportional to 4,103.09, 5,663.19 and 2,609.84

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Solution

The fourth proportional to 4,103.09, 5,663.19 and 2,609.84 is: 3,602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.09 : 5,663.19 = 2,609.84 : x
  2. Step 2: Convert to fraction form
    4,103.09/5,663.19 = 2,609.84/x
  3. Step 3: Cross multiply
    4,103.09x = 5,663.19 × 2,609.84
  4. Step 4: Simplify right side
    4,103.09x = 14,780,019.79
  5. Step 5: Solve for x
    x = 14,780,019.79/4,103.09
  6. Step 6: Final answer
    x = 3,602.17

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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.