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Finding the Fourth Proportional to 6,098.13, 8,415.42 and 3,303.63

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Solution

The fourth proportional to 6,098.13, 8,415.42 and 3,303.63 is: 4,559.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.13 : 8,415.42 = 3,303.63 : x
  2. Step 2: Convert to fraction form
    6,098.13/8,415.42 = 3,303.63/x
  3. Step 3: Cross multiply
    6,098.13x = 8,415.42 × 3,303.63
  4. Step 4: Simplify right side
    6,098.13x = 27,801,375.38
  5. Step 5: Solve for x
    x = 27,801,375.38/6,098.13
  6. Step 6: Final answer
    x = 4,559.00

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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.