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Finding the Fourth Proportional to 5,220.01, 7,830 and 2,448.63

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Solution

The fourth proportional to 5,220.01, 7,830 and 2,448.63 is: 3,672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.01 : 7,830 = 2,448.63 : x
  2. Step 2: Convert to fraction form
    5,220.01/7,830 = 2,448.63/x
  3. Step 3: Cross multiply
    5,220.01x = 7,830 × 2,448.63
  4. Step 4: Simplify right side
    5,220.01x = 19,172,772.90
  5. Step 5: Solve for x
    x = 19,172,772.90/5,220.01
  6. Step 6: Final answer
    x = 3,672.94

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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.