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Finding the Fourth Proportional to 3,509.42, 5,259.12 and 2,577.67

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Solution

The fourth proportional to 3,509.42, 5,259.12 and 2,577.67 is: 3,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.42 : 5,259.12 = 2,577.67 : x
  2. Step 2: Convert to fraction form
    3,509.42/5,259.12 = 2,577.67/x
  3. Step 3: Cross multiply
    3,509.42x = 5,259.12 × 2,577.67
  4. Step 4: Simplify right side
    3,509.42x = 13,556,275.85
  5. Step 5: Solve for x
    x = 13,556,275.85/3,509.42
  6. Step 6: Final answer
    x = 3,862.83

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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.