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Finding the Fourth Proportional to 4,669.68, 7,004.55 and 3,204.40

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Solution

The fourth proportional to 4,669.68, 7,004.55 and 3,204.40 is: 4,806.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.68 : 7,004.55 = 3,204.40 : x
  2. Step 2: Convert to fraction form
    4,669.68/7,004.55 = 3,204.40/x
  3. Step 3: Cross multiply
    4,669.68x = 7,004.55 × 3,204.40
  4. Step 4: Simplify right side
    4,669.68x = 22,445,380.02
  5. Step 5: Solve for x
    x = 22,445,380.02/4,669.68
  6. Step 6: Final answer
    x = 4,806.62

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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.