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Finding the Fourth Proportional to 3,725.65, 5,141.66 and 2,464.50

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Solution

The fourth proportional to 3,725.65, 5,141.66 and 2,464.50 is: 3,401.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.65 : 5,141.66 = 2,464.50 : x
  2. Step 2: Convert to fraction form
    3,725.65/5,141.66 = 2,464.50/x
  3. Step 3: Cross multiply
    3,725.65x = 5,141.66 × 2,464.50
  4. Step 4: Simplify right side
    3,725.65x = 12,671,621.07
  5. Step 5: Solve for x
    x = 12,671,621.07/3,725.65
  6. Step 6: Final answer
    x = 3,401.18

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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.