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Finding the Fourth Proportional to 4,311, 6,461.90 and 2,458.13

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Solution

The fourth proportional to 4,311, 6,461.90 and 2,458.13 is: 3,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311 : 6,461.90 = 2,458.13 : x
  2. Step 2: Convert to fraction form
    4,311/6,461.90 = 2,458.13/x
  3. Step 3: Cross multiply
    4,311x = 6,461.90 × 2,458.13
  4. Step 4: Simplify right side
    4,311x = 15,884,145.65
  5. Step 5: Solve for x
    x = 15,884,145.65/4,311
  6. Step 6: Final answer
    x = 3,684.56

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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.