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Finding the Fourth Proportional to 4,137.76, 5,709.48 and 2,345.14

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Solution

The fourth proportional to 4,137.76, 5,709.48 and 2,345.14 is: 3,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.76 : 5,709.48 = 2,345.14 : x
  2. Step 2: Convert to fraction form
    4,137.76/5,709.48 = 2,345.14/x
  3. Step 3: Cross multiply
    4,137.76x = 5,709.48 × 2,345.14
  4. Step 4: Simplify right side
    4,137.76x = 13,389,517.71
  5. Step 5: Solve for x
    x = 13,389,517.71/4,137.76
  6. Step 6: Final answer
    x = 3,235.93

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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.