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Finding the Fourth Proportional to 3,985.60, 5,501.62 and 3,423.82

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Solution

The fourth proportional to 3,985.60, 5,501.62 and 3,423.82 is: 4,726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.60 : 5,501.62 = 3,423.82 : x
  2. Step 2: Convert to fraction form
    3,985.60/5,501.62 = 3,423.82/x
  3. Step 3: Cross multiply
    3,985.60x = 5,501.62 × 3,423.82
  4. Step 4: Simplify right side
    3,985.60x = 18,836,556.59
  5. Step 5: Solve for x
    x = 18,836,556.59/3,985.60
  6. Step 6: Final answer
    x = 4,726.15

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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.