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Finding the Fourth Proportional to 5,196.49, 7,829.82 and 4,292.30

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Solution

The fourth proportional to 5,196.49, 7,829.82 and 4,292.30 is: 6,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.49 : 7,829.82 = 4,292.30 : x
  2. Step 2: Convert to fraction form
    5,196.49/7,829.82 = 4,292.30/x
  3. Step 3: Cross multiply
    5,196.49x = 7,829.82 × 4,292.30
  4. Step 4: Simplify right side
    5,196.49x = 33,607,955.96
  5. Step 5: Solve for x
    x = 33,607,955.96/5,196.49
  6. Step 6: Final answer
    x = 6,467.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.