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Finding the Fourth Proportional to 3,966.81, 5,469.21 and 2,547.99

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Solution

The fourth proportional to 3,966.81, 5,469.21 and 2,547.99 is: 3,513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.81 : 5,469.21 = 2,547.99 : x
  2. Step 2: Convert to fraction form
    3,966.81/5,469.21 = 2,547.99/x
  3. Step 3: Cross multiply
    3,966.81x = 5,469.21 × 2,547.99
  4. Step 4: Simplify right side
    3,966.81x = 13,935,492.39
  5. Step 5: Solve for x
    x = 13,935,492.39/3,966.81
  6. Step 6: Final answer
    x = 3,513.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.