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Finding the Fourth Proportional to 3,627.34, 5,430.02 and 3,280.83

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Solution

The fourth proportional to 3,627.34, 5,430.02 and 3,280.83 is: 4,911.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.34 : 5,430.02 = 3,280.83 : x
  2. Step 2: Convert to fraction form
    3,627.34/5,430.02 = 3,280.83/x
  3. Step 3: Cross multiply
    3,627.34x = 5,430.02 × 3,280.83
  4. Step 4: Simplify right side
    3,627.34x = 17,814,956.11
  5. Step 5: Solve for x
    x = 17,814,956.11/3,627.34
  6. Step 6: Final answer
    x = 4,911.30

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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.