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Finding the Fourth Proportional to 4,684.66, 7,027.71 and 1,563.70

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Solution

The fourth proportional to 4,684.66, 7,027.71 and 1,563.70 is: 2,345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.66 : 7,027.71 = 1,563.70 : x
  2. Step 2: Convert to fraction form
    4,684.66/7,027.71 = 1,563.70/x
  3. Step 3: Cross multiply
    4,684.66x = 7,027.71 × 1,563.70
  4. Step 4: Simplify right side
    4,684.66x = 10,989,230.13
  5. Step 5: Solve for x
    x = 10,989,230.13/4,684.66
  6. Step 6: Final answer
    x = 2,345.79

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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.