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Finding the Fourth Proportional to 4,135.95, 5,709.94 and 3,177.09

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Solution

The fourth proportional to 4,135.95, 5,709.94 and 3,177.09 is: 4,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.95 : 5,709.94 = 3,177.09 : x
  2. Step 2: Convert to fraction form
    4,135.95/5,709.94 = 3,177.09/x
  3. Step 3: Cross multiply
    4,135.95x = 5,709.94 × 3,177.09
  4. Step 4: Simplify right side
    4,135.95x = 18,140,985.33
  5. Step 5: Solve for x
    x = 18,140,985.33/4,135.95
  6. Step 6: Final answer
    x = 4,386.17

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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.