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Finding the Fourth Proportional to 5,213.45, 7,820.10 and 1,264.74

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Solution

The fourth proportional to 5,213.45, 7,820.10 and 1,264.74 is: 1,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.45 : 7,820.10 = 1,264.74 : x
  2. Step 2: Convert to fraction form
    5,213.45/7,820.10 = 1,264.74/x
  3. Step 3: Cross multiply
    5,213.45x = 7,820.10 × 1,264.74
  4. Step 4: Simplify right side
    5,213.45x = 9,890,357.34
  5. Step 5: Solve for x
    x = 9,890,357.34/5,213.45
  6. Step 6: Final answer
    x = 1,897.09

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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.