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Finding the Fourth Proportional to 4,265.87, 6,410.34 and 4,025.30

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Solution

The fourth proportional to 4,265.87, 6,410.34 and 4,025.30 is: 6,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265.87 : 6,410.34 = 4,025.30 : x
  2. Step 2: Convert to fraction form
    4,265.87/6,410.34 = 4,025.30/x
  3. Step 3: Cross multiply
    4,265.87x = 6,410.34 × 4,025.30
  4. Step 4: Simplify right side
    4,265.87x = 25,803,509.55
  5. Step 5: Solve for x
    x = 25,803,509.55/4,265.87
  6. Step 6: Final answer
    x = 6,048.83

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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.