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Finding the Fourth Proportional to 4,365.46, 6,559.13 and 4,103.02

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Solution

The fourth proportional to 4,365.46, 6,559.13 and 4,103.02 is: 6,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.46 : 6,559.13 = 4,103.02 : x
  2. Step 2: Convert to fraction form
    4,365.46/6,559.13 = 4,103.02/x
  3. Step 3: Cross multiply
    4,365.46x = 6,559.13 × 4,103.02
  4. Step 4: Simplify right side
    4,365.46x = 26,912,235.43
  5. Step 5: Solve for x
    x = 26,912,235.43/4,365.46
  6. Step 6: Final answer
    x = 6,164.81

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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.