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Finding the Fourth Proportional to 5,220.69, 7,827.84 and 2,448.21

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Solution

The fourth proportional to 5,220.69, 7,827.84 and 2,448.21 is: 3,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.69 : 7,827.84 = 2,448.21 : x
  2. Step 2: Convert to fraction form
    5,220.69/7,827.84 = 2,448.21/x
  3. Step 3: Cross multiply
    5,220.69x = 7,827.84 × 2,448.21
  4. Step 4: Simplify right side
    5,220.69x = 19,164,196.17
  5. Step 5: Solve for x
    x = 19,164,196.17/5,220.69
  6. Step 6: Final answer
    x = 3,670.82

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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.