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Finding the Fourth Proportional to 5,894.93, 8,135.00 and 3,242.51

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Solution

The fourth proportional to 5,894.93, 8,135.00 and 3,242.51 is: 4,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.93 : 8,135.00 = 3,242.51 : x
  2. Step 2: Convert to fraction form
    5,894.93/8,135.00 = 3,242.51/x
  3. Step 3: Cross multiply
    5,894.93x = 8,135.00 × 3,242.51
  4. Step 4: Simplify right side
    5,894.93x = 26,377,761.96
  5. Step 5: Solve for x
    x = 26,377,761.96/5,894.93
  6. Step 6: Final answer
    x = 4,474.66

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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.