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Finding the Fourth Proportional to 6,113.69, 8,438.90 and 3,595.69

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Solution

The fourth proportional to 6,113.69, 8,438.90 and 3,595.69 is: 4,963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.69 : 8,438.90 = 3,595.69 : x
  2. Step 2: Convert to fraction form
    6,113.69/8,438.90 = 3,595.69/x
  3. Step 3: Cross multiply
    6,113.69x = 8,438.90 × 3,595.69
  4. Step 4: Simplify right side
    6,113.69x = 30,343,629.27
  5. Step 5: Solve for x
    x = 30,343,629.27/6,113.69
  6. Step 6: Final answer
    x = 4,963.23

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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.