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Finding the Fourth Proportional to 3,645.20, 5,465 and 1,695.98

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Solution

The fourth proportional to 3,645.20, 5,465 and 1,695.98 is: 2,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.20 : 5,465 = 1,695.98 : x
  2. Step 2: Convert to fraction form
    3,645.20/5,465 = 1,695.98/x
  3. Step 3: Cross multiply
    3,645.20x = 5,465 × 1,695.98
  4. Step 4: Simplify right side
    3,645.20x = 9,268,530.70
  5. Step 5: Solve for x
    x = 9,268,530.70/3,645.20
  6. Step 6: Final answer
    x = 2,542.67

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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.