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Finding the Fourth Proportional to 4,647.42, 6,969.51 and 2,147.58

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Solution

The fourth proportional to 4,647.42, 6,969.51 and 2,147.58 is: 3,220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.42 : 6,969.51 = 2,147.58 : x
  2. Step 2: Convert to fraction form
    4,647.42/6,969.51 = 2,147.58/x
  3. Step 3: Cross multiply
    4,647.42x = 6,969.51 × 2,147.58
  4. Step 4: Simplify right side
    4,647.42x = 14,967,580.29
  5. Step 5: Solve for x
    x = 14,967,580.29/4,647.42
  6. Step 6: Final answer
    x = 3,220.62

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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.