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Finding the Fourth Proportional to 5,894.04, 8,135.94 and 3,905.24

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Solution

The fourth proportional to 5,894.04, 8,135.94 and 3,905.24 is: 5,390.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.04 : 8,135.94 = 3,905.24 : x
  2. Step 2: Convert to fraction form
    5,894.04/8,135.94 = 3,905.24/x
  3. Step 3: Cross multiply
    5,894.04x = 8,135.94 × 3,905.24
  4. Step 4: Simplify right side
    5,894.04x = 31,772,798.33
  5. Step 5: Solve for x
    x = 31,772,798.33/5,894.04
  6. Step 6: Final answer
    x = 5,390.67

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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.