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Finding the Fourth Proportional to 4,563.90, 6,294.96 and 4,411.50

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Solution

The fourth proportional to 4,563.90, 6,294.96 and 4,411.50 is: 6,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.90 : 6,294.96 = 4,411.50 : x
  2. Step 2: Convert to fraction form
    4,563.90/6,294.96 = 4,411.50/x
  3. Step 3: Cross multiply
    4,563.90x = 6,294.96 × 4,411.50
  4. Step 4: Simplify right side
    4,563.90x = 27,770,216.04
  5. Step 5: Solve for x
    x = 27,770,216.04/4,563.90
  6. Step 6: Final answer
    x = 6,084.76

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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.