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Finding the Fourth Proportional to 6,061.14, 8,364.15 and 3,543.39

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Solution

The fourth proportional to 6,061.14, 8,364.15 and 3,543.39 is: 4,889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.14 : 8,364.15 = 3,543.39 : x
  2. Step 2: Convert to fraction form
    6,061.14/8,364.15 = 3,543.39/x
  3. Step 3: Cross multiply
    6,061.14x = 8,364.15 × 3,543.39
  4. Step 4: Simplify right side
    6,061.14x = 29,637,445.47
  5. Step 5: Solve for x
    x = 29,637,445.47/6,061.14
  6. Step 6: Final answer
    x = 4,889.75

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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.