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Finding the Fourth Proportional to 5,557.76, 7,669.42 and 3,039.38

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Solution

The fourth proportional to 5,557.76, 7,669.42 and 3,039.38 is: 4,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,557.76 : 7,669.42 = 3,039.38 : x
  2. Step 2: Convert to fraction form
    5,557.76/7,669.42 = 3,039.38/x
  3. Step 3: Cross multiply
    5,557.76x = 7,669.42 × 3,039.38
  4. Step 4: Simplify right side
    5,557.76x = 23,310,228.22
  5. Step 5: Solve for x
    x = 23,310,228.22/5,557.76
  6. Step 6: Final answer
    x = 4,194.18

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Why These Related Problems?

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