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Finding the Fourth Proportional to 4,563.54, 6,294.42 and 4,411.14

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Solution

The fourth proportional to 4,563.54, 6,294.42 and 4,411.14 is: 6,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.54 : 6,294.42 = 4,411.14 : x
  2. Step 2: Convert to fraction form
    4,563.54/6,294.42 = 4,411.14/x
  3. Step 3: Cross multiply
    4,563.54x = 6,294.42 × 4,411.14
  4. Step 4: Simplify right side
    4,563.54x = 27,765,567.84
  5. Step 5: Solve for x
    x = 27,765,567.84/4,563.54
  6. Step 6: Final answer
    x = 6,084.22

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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.