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Finding the Fourth Proportional to 4,917.45, 7,369.23 and 4,184.13

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Solution

The fourth proportional to 4,917.45, 7,369.23 and 4,184.13 is: 6,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917.45 : 7,369.23 = 4,184.13 : x
  2. Step 2: Convert to fraction form
    4,917.45/7,369.23 = 4,184.13/x
  3. Step 3: Cross multiply
    4,917.45x = 7,369.23 × 4,184.13
  4. Step 4: Simplify right side
    4,917.45x = 30,833,816.32
  5. Step 5: Solve for x
    x = 30,833,816.32/4,917.45
  6. Step 6: Final answer
    x = 6,270.29

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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.