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Finding the Fourth Proportional to 5,917.84, 8,861.58 and 5,742.65

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Solution

The fourth proportional to 5,917.84, 8,861.58 and 5,742.65 is: 8,599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.84 : 8,861.58 = 5,742.65 : x
  2. Step 2: Convert to fraction form
    5,917.84/8,861.58 = 5,742.65/x
  3. Step 3: Cross multiply
    5,917.84x = 8,861.58 × 5,742.65
  4. Step 4: Simplify right side
    5,917.84x = 50,888,974.54
  5. Step 5: Solve for x
    x = 50,888,974.54/5,917.84
  6. Step 6: Final answer
    x = 8,599.25

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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.