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Finding the Fourth Proportional to 3,907.25, 5,856.55 and 1,715.69

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Solution

The fourth proportional to 3,907.25, 5,856.55 and 1,715.69 is: 2,571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.25 : 5,856.55 = 1,715.69 : x
  2. Step 2: Convert to fraction form
    3,907.25/5,856.55 = 1,715.69/x
  3. Step 3: Cross multiply
    3,907.25x = 5,856.55 × 1,715.69
  4. Step 4: Simplify right side
    3,907.25x = 10,048,024.27
  5. Step 5: Solve for x
    x = 10,048,024.27/3,907.25
  6. Step 6: Final answer
    x = 2,571.64

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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.