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Finding the Fourth Proportional to 5,791.84, 8,701.76 and 3,716

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Solution

The fourth proportional to 5,791.84, 8,701.76 and 3,716 is: 5,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.84 : 8,701.76 = 3,716 : x
  2. Step 2: Convert to fraction form
    5,791.84/8,701.76 = 3,716/x
  3. Step 3: Cross multiply
    5,791.84x = 8,701.76 × 3,716
  4. Step 4: Simplify right side
    5,791.84x = 32,335,740.16
  5. Step 5: Solve for x
    x = 32,335,740.16/5,791.84
  6. Step 6: Final answer
    x = 5,582.98

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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.