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Finding the Fourth Proportional to 5,298.26, 7,948.72 and 3,741.30

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Solution

The fourth proportional to 5,298.26, 7,948.72 and 3,741.30 is: 5,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.26 : 7,948.72 = 3,741.30 : x
  2. Step 2: Convert to fraction form
    5,298.26/7,948.72 = 3,741.30/x
  3. Step 3: Cross multiply
    5,298.26x = 7,948.72 × 3,741.30
  4. Step 4: Simplify right side
    5,298.26x = 29,738,556.73
  5. Step 5: Solve for x
    x = 29,738,556.73/5,298.26
  6. Step 6: Final answer
    x = 5,612.89

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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.