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Finding the Fourth Proportional to 3,325.46, 4,555.90 and 3,200.90

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Solution

The fourth proportional to 3,325.46, 4,555.90 and 3,200.90 is: 4,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,325.46 : 4,555.90 = 3,200.90 : x
  2. Step 2: Convert to fraction form
    3,325.46/4,555.90 = 3,200.90/x
  3. Step 3: Cross multiply
    3,325.46x = 4,555.90 × 3,200.90
  4. Step 4: Simplify right side
    3,325.46x = 14,582,980.31
  5. Step 5: Solve for x
    x = 14,582,980.31/3,325.46
  6. Step 6: Final answer
    x = 4,385.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.