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Finding the Fourth Proportional to 6,148.98, 8,486.70 and 3,630.95

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Solution

The fourth proportional to 6,148.98, 8,486.70 and 3,630.95 is: 5,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.98 : 8,486.70 = 3,630.95 : x
  2. Step 2: Convert to fraction form
    6,148.98/8,486.70 = 3,630.95/x
  3. Step 3: Cross multiply
    6,148.98x = 8,486.70 × 3,630.95
  4. Step 4: Simplify right side
    6,148.98x = 30,814,783.37
  5. Step 5: Solve for x
    x = 30,814,783.37/6,148.98
  6. Step 6: Final answer
    x = 5,011.37

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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.