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Finding the Fourth Proportional to 5,798.18, 7,997.87 and 5,053.93

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Solution

The fourth proportional to 5,798.18, 7,997.87 and 5,053.93 is: 6,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.18 : 7,997.87 = 5,053.93 : x
  2. Step 2: Convert to fraction form
    5,798.18/7,997.87 = 5,053.93/x
  3. Step 3: Cross multiply
    5,798.18x = 7,997.87 × 5,053.93
  4. Step 4: Simplify right side
    5,798.18x = 40,420,667.77
  5. Step 5: Solve for x
    x = 40,420,667.77/5,798.18
  6. Step 6: Final answer
    x = 6,971.27

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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.