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Finding the Fourth Proportional to 4,810.84, 7,216.98 and 4,190.08

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Solution

The fourth proportional to 4,810.84, 7,216.98 and 4,190.08 is: 6,285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.84 : 7,216.98 = 4,190.08 : x
  2. Step 2: Convert to fraction form
    4,810.84/7,216.98 = 4,190.08/x
  3. Step 3: Cross multiply
    4,810.84x = 7,216.98 × 4,190.08
  4. Step 4: Simplify right side
    4,810.84x = 30,239,723.56
  5. Step 5: Solve for x
    x = 30,239,723.56/4,810.84
  6. Step 6: Final answer
    x = 6,285.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.