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Finding the Fourth Proportional to 3,364.40, 4,639.65 and 2,566.31

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Solution

The fourth proportional to 3,364.40, 4,639.65 and 2,566.31 is: 3,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.40 : 4,639.65 = 2,566.31 : x
  2. Step 2: Convert to fraction form
    3,364.40/4,639.65 = 2,566.31/x
  3. Step 3: Cross multiply
    3,364.40x = 4,639.65 × 2,566.31
  4. Step 4: Simplify right side
    3,364.40x = 11,906,780.19
  5. Step 5: Solve for x
    x = 11,906,780.19/3,364.40
  6. Step 6: Final answer
    x = 3,539.05

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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.