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Finding the Fourth Proportional to 6,543.35, 9,029.38 and 3,710.45

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Solution

The fourth proportional to 6,543.35, 9,029.38 and 3,710.45 is: 5,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.35 : 9,029.38 = 3,710.45 : x
  2. Step 2: Convert to fraction form
    6,543.35/9,029.38 = 3,710.45/x
  3. Step 3: Cross multiply
    6,543.35x = 9,029.38 × 3,710.45
  4. Step 4: Simplify right side
    6,543.35x = 33,503,063.02
  5. Step 5: Solve for x
    x = 33,503,063.02/6,543.35
  6. Step 6: Final answer
    x = 5,120.17

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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.