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Finding the Fourth Proportional to 4,113.78, 5,677.02 and 2,345.34

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Solution

The fourth proportional to 4,113.78, 5,677.02 and 2,345.34 is: 3,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.78 : 5,677.02 = 2,345.34 : x
  2. Step 2: Convert to fraction form
    4,113.78/5,677.02 = 2,345.34/x
  3. Step 3: Cross multiply
    4,113.78x = 5,677.02 × 2,345.34
  4. Step 4: Simplify right side
    4,113.78x = 13,314,542.09
  5. Step 5: Solve for x
    x = 13,314,542.09/4,113.78
  6. Step 6: Final answer
    x = 3,236.57

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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.