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Finding the Fourth Proportional to 4,407.78, 6,609.50 and 2,184.04

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Solution

The fourth proportional to 4,407.78, 6,609.50 and 2,184.04 is: 3,274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.78 : 6,609.50 = 2,184.04 : x
  2. Step 2: Convert to fraction form
    4,407.78/6,609.50 = 2,184.04/x
  3. Step 3: Cross multiply
    4,407.78x = 6,609.50 × 2,184.04
  4. Step 4: Simplify right side
    4,407.78x = 14,435,401.46
  5. Step 5: Solve for x
    x = 14,435,401.46/4,407.78
  6. Step 6: Final answer
    x = 3,274.99

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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.