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Finding the Fourth Proportional to 5,670.01, 7,822.50 and 4,181.50

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Solution

The fourth proportional to 5,670.01, 7,822.50 and 4,181.50 is: 5,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.01 : 7,822.50 = 4,181.50 : x
  2. Step 2: Convert to fraction form
    5,670.01/7,822.50 = 4,181.50/x
  3. Step 3: Cross multiply
    5,670.01x = 7,822.50 × 4,181.50
  4. Step 4: Simplify right side
    5,670.01x = 32,709,783.75
  5. Step 5: Solve for x
    x = 32,709,783.75/5,670.01
  6. Step 6: Final answer
    x = 5,768.91

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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.