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Finding the Fourth Proportional to 4,885.71, 7,331.30 and 1,966.06

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Solution

The fourth proportional to 4,885.71, 7,331.30 and 1,966.06 is: 2,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.71 : 7,331.30 = 1,966.06 : x
  2. Step 2: Convert to fraction form
    4,885.71/7,331.30 = 1,966.06/x
  3. Step 3: Cross multiply
    4,885.71x = 7,331.30 × 1,966.06
  4. Step 4: Simplify right side
    4,885.71x = 14,413,775.68
  5. Step 5: Solve for x
    x = 14,413,775.68/4,885.71
  6. Step 6: Final answer
    x = 2,950.19

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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.