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Finding the Fourth Proportional to 5,636.18, 7,781.06 and 3,398.63

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Solution

The fourth proportional to 5,636.18, 7,781.06 and 3,398.63 is: 4,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.18 : 7,781.06 = 3,398.63 : x
  2. Step 2: Convert to fraction form
    5,636.18/7,781.06 = 3,398.63/x
  3. Step 3: Cross multiply
    5,636.18x = 7,781.06 × 3,398.63
  4. Step 4: Simplify right side
    5,636.18x = 26,444,913.54
  5. Step 5: Solve for x
    x = 26,444,913.54/5,636.18
  6. Step 6: Final answer
    x = 4,691.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.