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Finding the Fourth Proportional to 5,552.90, 7,654.89 and 4,224.30

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Solution

The fourth proportional to 5,552.90, 7,654.89 and 4,224.30 is: 5,823.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,552.90 : 7,654.89 = 4,224.30 : x
  2. Step 2: Convert to fraction form
    5,552.90/7,654.89 = 4,224.30/x
  3. Step 3: Cross multiply
    5,552.90x = 7,654.89 × 4,224.30
  4. Step 4: Simplify right side
    5,552.90x = 32,336,492.43
  5. Step 5: Solve for x
    x = 32,336,492.43/5,552.90
  6. Step 6: Final answer
    x = 5,823.35

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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.