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Finding the Fourth Proportional to 4,137.84, 5,709.80 and 2,345.40

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Solution

The fourth proportional to 4,137.84, 5,709.80 and 2,345.40 is: 3,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.84 : 5,709.80 = 2,345.40 : x
  2. Step 2: Convert to fraction form
    4,137.84/5,709.80 = 2,345.40/x
  3. Step 3: Cross multiply
    4,137.84x = 5,709.80 × 2,345.40
  4. Step 4: Simplify right side
    4,137.84x = 13,391,764.92
  5. Step 5: Solve for x
    x = 13,391,764.92/4,137.84
  6. Step 6: Final answer
    x = 3,236.41

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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.