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Finding the Fourth Proportional to 4,617.20, 6,362.15 and 4,114.50

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Solution

The fourth proportional to 4,617.20, 6,362.15 and 4,114.50 is: 5,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.20 : 6,362.15 = 4,114.50 : x
  2. Step 2: Convert to fraction form
    4,617.20/6,362.15 = 4,114.50/x
  3. Step 3: Cross multiply
    4,617.20x = 6,362.15 × 4,114.50
  4. Step 4: Simplify right side
    4,617.20x = 26,177,021.74
  5. Step 5: Solve for x
    x = 26,177,021.74/4,617.20
  6. Step 6: Final answer
    x = 5,669.45

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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.