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Finding the Fourth Proportional to 6,443.04, 8,898.39 and 5,188.23

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Solution

The fourth proportional to 6,443.04, 8,898.39 and 5,188.23 is: 7,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.04 : 8,898.39 = 5,188.23 : x
  2. Step 2: Convert to fraction form
    6,443.04/8,898.39 = 5,188.23/x
  3. Step 3: Cross multiply
    6,443.04x = 8,898.39 × 5,188.23
  4. Step 4: Simplify right side
    6,443.04x = 46,166,893.95
  5. Step 5: Solve for x
    x = 46,166,893.95/6,443.04
  6. Step 6: Final answer
    x = 7,165.39

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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.