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Finding the Fourth Proportional to 5,897.04, 8,138.02 and 3,244.44

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Solution

The fourth proportional to 5,897.04, 8,138.02 and 3,244.44 is: 4,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.04 : 8,138.02 = 3,244.44 : x
  2. Step 2: Convert to fraction form
    5,897.04/8,138.02 = 3,244.44/x
  3. Step 3: Cross multiply
    5,897.04x = 8,138.02 × 3,244.44
  4. Step 4: Simplify right side
    5,897.04x = 26,403,317.61
  5. Step 5: Solve for x
    x = 26,403,317.61/5,897.04
  6. Step 6: Final answer
    x = 4,477.38

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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.