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Finding the Fourth Proportional to 3,869.50, 5,341.24 and 2,609.75

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Solution

The fourth proportional to 3,869.50, 5,341.24 and 2,609.75 is: 3,602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.50 : 5,341.24 = 2,609.75 : x
  2. Step 2: Convert to fraction form
    3,869.50/5,341.24 = 2,609.75/x
  3. Step 3: Cross multiply
    3,869.50x = 5,341.24 × 2,609.75
  4. Step 4: Simplify right side
    3,869.50x = 13,939,301.09
  5. Step 5: Solve for x
    x = 13,939,301.09/3,869.50
  6. Step 6: Final answer
    x = 3,602.35

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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.