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Finding the Fourth Proportional to 3,716.37, 5,578.65 and 1,526.63

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Solution

The fourth proportional to 3,716.37, 5,578.65 and 1,526.63 is: 2,291.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.37 : 5,578.65 = 1,526.63 : x
  2. Step 2: Convert to fraction form
    3,716.37/5,578.65 = 1,526.63/x
  3. Step 3: Cross multiply
    3,716.37x = 5,578.65 × 1,526.63
  4. Step 4: Simplify right side
    3,716.37x = 8,516,506.56
  5. Step 5: Solve for x
    x = 8,516,506.56/3,716.37
  6. Step 6: Final answer
    x = 2,291.62

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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.