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Finding the Fourth Proportional to 6,133.92, 8,465.92 and 3,615.89

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Solution

The fourth proportional to 6,133.92, 8,465.92 and 3,615.89 is: 4,990.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.92 : 8,465.92 = 3,615.89 : x
  2. Step 2: Convert to fraction form
    6,133.92/8,465.92 = 3,615.89/x
  3. Step 3: Cross multiply
    6,133.92x = 8,465.92 × 3,615.89
  4. Step 4: Simplify right side
    6,133.92x = 30,611,784.10
  5. Step 5: Solve for x
    x = 30,611,784.10/6,133.92
  6. Step 6: Final answer
    x = 4,990.57

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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.