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Finding the Fourth Proportional to 5,833.30, 8,053.03 and 4,686.54

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Solution

The fourth proportional to 5,833.30, 8,053.03 and 4,686.54 is: 6,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.30 : 8,053.03 = 4,686.54 : x
  2. Step 2: Convert to fraction form
    5,833.30/8,053.03 = 4,686.54/x
  3. Step 3: Cross multiply
    5,833.30x = 8,053.03 × 4,686.54
  4. Step 4: Simplify right side
    5,833.30x = 37,740,847.22
  5. Step 5: Solve for x
    x = 37,740,847.22/5,833.30
  6. Step 6: Final answer
    x = 6,469.90

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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.