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Finding the Fourth Proportional to 4,362, 6,541.68 and 1,441.08

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Solution

The fourth proportional to 4,362, 6,541.68 and 1,441.08 is: 2,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362 : 6,541.68 = 1,441.08 : x
  2. Step 2: Convert to fraction form
    4,362/6,541.68 = 1,441.08/x
  3. Step 3: Cross multiply
    4,362x = 6,541.68 × 1,441.08
  4. Step 4: Simplify right side
    4,362x = 9,427,084.21
  5. Step 5: Solve for x
    x = 9,427,084.21/4,362
  6. Step 6: Final answer
    x = 2,161.18

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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.