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Finding the Fourth Proportional to 6,098.41, 8,415.80 and 3,303.91

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Solution

The fourth proportional to 6,098.41, 8,415.80 and 3,303.91 is: 4,559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.41 : 8,415.80 = 3,303.91 : x
  2. Step 2: Convert to fraction form
    6,098.41/8,415.80 = 3,303.91/x
  3. Step 3: Cross multiply
    6,098.41x = 8,415.80 × 3,303.91
  4. Step 4: Simplify right side
    6,098.41x = 27,805,024.74
  5. Step 5: Solve for x
    x = 27,805,024.74/6,098.41
  6. Step 6: Final answer
    x = 4,559.39

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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.