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Finding the Fourth Proportional to 4,138.65, 5,710.50 and 2,345.31

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Solution

The fourth proportional to 4,138.65, 5,710.50 and 2,345.31 is: 3,236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.65 : 5,710.50 = 2,345.31 : x
  2. Step 2: Convert to fraction form
    4,138.65/5,710.50 = 2,345.31/x
  3. Step 3: Cross multiply
    4,138.65x = 5,710.50 × 2,345.31
  4. Step 4: Simplify right side
    4,138.65x = 13,392,892.76
  5. Step 5: Solve for x
    x = 13,392,892.76/4,138.65
  6. Step 6: Final answer
    x = 3,236.05

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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.