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Finding the Fourth Proportional to 6,185.18, 8,535.90 and 3,533.46

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Solution

The fourth proportional to 6,185.18, 8,535.90 and 3,533.46 is: 4,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.18 : 8,535.90 = 3,533.46 : x
  2. Step 2: Convert to fraction form
    6,185.18/8,535.90 = 3,533.46/x
  3. Step 3: Cross multiply
    6,185.18x = 8,535.90 × 3,533.46
  4. Step 4: Simplify right side
    6,185.18x = 30,161,261.21
  5. Step 5: Solve for x
    x = 30,161,261.21/6,185.18
  6. Step 6: Final answer
    x = 4,876.38

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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.