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Finding the Fourth Proportional to 3,756.68, 5,634.16 and 1,416.76

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Solution

The fourth proportional to 3,756.68, 5,634.16 and 1,416.76 is: 2,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.68 : 5,634.16 = 1,416.76 : x
  2. Step 2: Convert to fraction form
    3,756.68/5,634.16 = 1,416.76/x
  3. Step 3: Cross multiply
    3,756.68x = 5,634.16 × 1,416.76
  4. Step 4: Simplify right side
    3,756.68x = 7,982,252.52
  5. Step 5: Solve for x
    x = 7,982,252.52/3,756.68
  6. Step 6: Final answer
    x = 2,124.82

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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.