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Finding the Fourth Proportional to 5,837.81, 8,756.78 and 4,611.74

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Solution

The fourth proportional to 5,837.81, 8,756.78 and 4,611.74 is: 6,917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.81 : 8,756.78 = 4,611.74 : x
  2. Step 2: Convert to fraction form
    5,837.81/8,756.78 = 4,611.74/x
  3. Step 3: Cross multiply
    5,837.81x = 8,756.78 × 4,611.74
  4. Step 4: Simplify right side
    5,837.81x = 40,383,925.75
  5. Step 5: Solve for x
    x = 40,383,925.75/5,837.81
  6. Step 6: Final answer
    x = 6,917.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.