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Finding the Fourth Proportional to 5,798.93, 8,003.34 and 3,815.24

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Solution

The fourth proportional to 5,798.93, 8,003.34 and 3,815.24 is: 5,265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.93 : 8,003.34 = 3,815.24 : x
  2. Step 2: Convert to fraction form
    5,798.93/8,003.34 = 3,815.24/x
  3. Step 3: Cross multiply
    5,798.93x = 8,003.34 × 3,815.24
  4. Step 4: Simplify right side
    5,798.93x = 30,534,622.88
  5. Step 5: Solve for x
    x = 30,534,622.88/5,798.93
  6. Step 6: Final answer
    x = 5,265.57

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1.5x scale

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.