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Finding the Fourth Proportional to 5,770.96, 8,648.34 and 2,481.58

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Solution

The fourth proportional to 5,770.96, 8,648.34 and 2,481.58 is: 3,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.96 : 8,648.34 = 2,481.58 : x
  2. Step 2: Convert to fraction form
    5,770.96/8,648.34 = 2,481.58/x
  3. Step 3: Cross multiply
    5,770.96x = 8,648.34 × 2,481.58
  4. Step 4: Simplify right side
    5,770.96x = 21,461,547.58
  5. Step 5: Solve for x
    x = 21,461,547.58/5,770.96
  6. Step 6: Final answer
    x = 3,718.89

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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.