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Finding the Fourth Proportional to 5,464.50, 7,541.01 and 2,980.50

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Solution

The fourth proportional to 5,464.50, 7,541.01 and 2,980.50 is: 4,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.50 : 7,541.01 = 2,980.50 : x
  2. Step 2: Convert to fraction form
    5,464.50/7,541.01 = 2,980.50/x
  3. Step 3: Cross multiply
    5,464.50x = 7,541.01 × 2,980.50
  4. Step 4: Simplify right side
    5,464.50x = 22,475,980.31
  5. Step 5: Solve for x
    x = 22,475,980.31/5,464.50
  6. Step 6: Final answer
    x = 4,113.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.