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Finding the Fourth Proportional to 5,743.58, 8,608.02 and 5,000.16

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Solution

The fourth proportional to 5,743.58, 8,608.02 and 5,000.16 is: 7,493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.58 : 8,608.02 = 5,000.16 : x
  2. Step 2: Convert to fraction form
    5,743.58/8,608.02 = 5,000.16/x
  3. Step 3: Cross multiply
    5,743.58x = 8,608.02 × 5,000.16
  4. Step 4: Simplify right side
    5,743.58x = 43,041,477.28
  5. Step 5: Solve for x
    x = 43,041,477.28/5,743.58
  6. Step 6: Final answer
    x = 7,493.84

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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.