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Finding the Fourth Proportional to 4,185.06, 6,275.99 and 1,410.98

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Solution

The fourth proportional to 4,185.06, 6,275.99 and 1,410.98 is: 2,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.06 : 6,275.99 = 1,410.98 : x
  2. Step 2: Convert to fraction form
    4,185.06/6,275.99 = 1,410.98/x
  3. Step 3: Cross multiply
    4,185.06x = 6,275.99 × 1,410.98
  4. Step 4: Simplify right side
    4,185.06x = 8,855,305.01
  5. Step 5: Solve for x
    x = 8,855,305.01/4,185.06
  6. Step 6: Final answer
    x = 2,115.93

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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.