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Finding the Fourth Proportional to 3,216.77, 4,825.10 and 1,025.46

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Solution

The fourth proportional to 3,216.77, 4,825.10 and 1,025.46 is: 1,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.77 : 4,825.10 = 1,025.46 : x
  2. Step 2: Convert to fraction form
    3,216.77/4,825.10 = 1,025.46/x
  3. Step 3: Cross multiply
    3,216.77x = 4,825.10 × 1,025.46
  4. Step 4: Simplify right side
    3,216.77x = 4,947,941.92
  5. Step 5: Solve for x
    x = 4,947,941.92/3,216.77
  6. Step 6: Final answer
    x = 1,538.17

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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.