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Finding the Fourth Proportional to 3,387.65, 4,664.58 and 2,965.64

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Solution

The fourth proportional to 3,387.65, 4,664.58 and 2,965.64 is: 4,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.65 : 4,664.58 = 2,965.64 : x
  2. Step 2: Convert to fraction form
    3,387.65/4,664.58 = 2,965.64/x
  3. Step 3: Cross multiply
    3,387.65x = 4,664.58 × 2,965.64
  4. Step 4: Simplify right side
    3,387.65x = 13,833,465.57
  5. Step 5: Solve for x
    x = 13,833,465.57/3,387.65
  6. Step 6: Final answer
    x = 4,083.50

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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.