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Finding the Fourth Proportional to 3,626.81, 5,442.64 and 2,329.19

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Solution

The fourth proportional to 3,626.81, 5,442.64 and 2,329.19 is: 3,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.81 : 5,442.64 = 2,329.19 : x
  2. Step 2: Convert to fraction form
    3,626.81/5,442.64 = 2,329.19/x
  3. Step 3: Cross multiply
    3,626.81x = 5,442.64 × 2,329.19
  4. Step 4: Simplify right side
    3,626.81x = 12,676,909.63
  5. Step 5: Solve for x
    x = 12,676,909.63/3,626.81
  6. Step 6: Final answer
    x = 3,495.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.