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Finding the Fourth Proportional to 6,098, 8,415.24 and 3,303.50

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Solution

The fourth proportional to 6,098, 8,415.24 and 3,303.50 is: 4,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098 : 8,415.24 = 3,303.50 : x
  2. Step 2: Convert to fraction form
    6,098/8,415.24 = 3,303.50/x
  3. Step 3: Cross multiply
    6,098x = 8,415.24 × 3,303.50
  4. Step 4: Simplify right side
    6,098x = 27,799,745.34
  5. Step 5: Solve for x
    x = 27,799,745.34/6,098
  6. Step 6: Final answer
    x = 4,558.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.