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Finding the Fourth Proportional to 4,137.66, 6,206.82 and 1,215.99

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Solution

The fourth proportional to 4,137.66, 6,206.82 and 1,215.99 is: 1,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.66 : 6,206.82 = 1,215.99 : x
  2. Step 2: Convert to fraction form
    4,137.66/6,206.82 = 1,215.99/x
  3. Step 3: Cross multiply
    4,137.66x = 6,206.82 × 1,215.99
  4. Step 4: Simplify right side
    4,137.66x = 7,547,431.05
  5. Step 5: Solve for x
    x = 7,547,431.05/4,137.66
  6. Step 6: Final answer
    x = 1,824.08

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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.