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Finding the Fourth Proportional to 4,185.66, 6,274.49 and 1,410.90

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Solution

The fourth proportional to 4,185.66, 6,274.49 and 1,410.90 is: 2,115.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.66 : 6,274.49 = 1,410.90 : x
  2. Step 2: Convert to fraction form
    4,185.66/6,274.49 = 1,410.90/x
  3. Step 3: Cross multiply
    4,185.66x = 6,274.49 × 1,410.90
  4. Step 4: Simplify right side
    4,185.66x = 8,852,677.94
  5. Step 5: Solve for x
    x = 8,852,677.94/4,185.66
  6. Step 6: Final answer
    x = 2,115.00

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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.