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Finding the Fourth Proportional to 4,137.84, 5,711.54 and 2,649.76

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Solution

The fourth proportional to 4,137.84, 5,711.54 and 2,649.76 is: 3,657.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.84 : 5,711.54 = 2,649.76 : x
  2. Step 2: Convert to fraction form
    4,137.84/5,711.54 = 2,649.76/x
  3. Step 3: Cross multiply
    4,137.84x = 5,711.54 × 2,649.76
  4. Step 4: Simplify right side
    4,137.84x = 15,134,210.23
  5. Step 5: Solve for x
    x = 15,134,210.23/4,137.84
  6. Step 6: Final answer
    x = 3,657.51

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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.