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Finding the Fourth Proportional to 4,047.15, 6,069.60 and 2,564.17

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Solution

The fourth proportional to 4,047.15, 6,069.60 and 2,564.17 is: 3,845.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.15 : 6,069.60 = 2,564.17 : x
  2. Step 2: Convert to fraction form
    4,047.15/6,069.60 = 2,564.17/x
  3. Step 3: Cross multiply
    4,047.15x = 6,069.60 × 2,564.17
  4. Step 4: Simplify right side
    4,047.15x = 15,563,486.23
  5. Step 5: Solve for x
    x = 15,563,486.23/4,047.15
  6. Step 6: Final answer
    x = 3,845.54

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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.