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Finding the Fourth Proportional to 5,213.57, 7,820.35 and 1,753.25

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Solution

The fourth proportional to 5,213.57, 7,820.35 and 1,753.25 is: 2,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.57 : 7,820.35 = 1,753.25 : x
  2. Step 2: Convert to fraction form
    5,213.57/7,820.35 = 1,753.25/x
  3. Step 3: Cross multiply
    5,213.57x = 7,820.35 × 1,753.25
  4. Step 4: Simplify right side
    5,213.57x = 13,710,985.15
  5. Step 5: Solve for x
    x = 13,710,985.15/5,213.57
  6. Step 6: Final answer
    x = 2,629.87

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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.