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Finding the Fourth Proportional to 5,580.46, 8,372.04 and 1,684.63

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Solution

The fourth proportional to 5,580.46, 8,372.04 and 1,684.63 is: 2,527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.46 : 8,372.04 = 1,684.63 : x
  2. Step 2: Convert to fraction form
    5,580.46/8,372.04 = 1,684.63/x
  3. Step 3: Cross multiply
    5,580.46x = 8,372.04 × 1,684.63
  4. Step 4: Simplify right side
    5,580.46x = 14,103,789.75
  5. Step 5: Solve for x
    x = 14,103,789.75/5,580.46
  6. Step 6: Final answer
    x = 2,527.35

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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.