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Finding the Fourth Proportional to 4,306.89, 6,489.63 and 3,544.00

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Solution

The fourth proportional to 4,306.89, 6,489.63 and 3,544.00 is: 5,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.89 : 6,489.63 = 3,544.00 : x
  2. Step 2: Convert to fraction form
    4,306.89/6,489.63 = 3,544.00/x
  3. Step 3: Cross multiply
    4,306.89x = 6,489.63 × 3,544.00
  4. Step 4: Simplify right side
    4,306.89x = 22,999,245.79
  5. Step 5: Solve for x
    x = 22,999,245.79/4,306.89
  6. Step 6: Final answer
    x = 5,340.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.