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Finding the Fourth Proportional to 3,860.58, 5,756.98 and 3,825.50

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Solution

The fourth proportional to 3,860.58, 5,756.98 and 3,825.50 is: 5,704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.58 : 5,756.98 = 3,825.50 : x
  2. Step 2: Convert to fraction form
    3,860.58/5,756.98 = 3,825.50/x
  3. Step 3: Cross multiply
    3,860.58x = 5,756.98 × 3,825.50
  4. Step 4: Simplify right side
    3,860.58x = 22,023,326.99
  5. Step 5: Solve for x
    x = 22,023,326.99/3,860.58
  6. Step 6: Final answer
    x = 5,704.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.