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Finding the Fourth Proportional to 5,580.64, 7,701.06 and 3,223.18

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Solution

The fourth proportional to 5,580.64, 7,701.06 and 3,223.18 is: 4,447.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.64 : 7,701.06 = 3,223.18 : x
  2. Step 2: Convert to fraction form
    5,580.64/7,701.06 = 3,223.18/x
  3. Step 3: Cross multiply
    5,580.64x = 7,701.06 × 3,223.18
  4. Step 4: Simplify right side
    5,580.64x = 24,821,902.57
  5. Step 5: Solve for x
    x = 24,821,902.57/5,580.64
  6. Step 6: Final answer
    x = 4,447.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.