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Finding the Fourth Proportional to 4,666.84, 6,439.14 and 2,779

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Solution

The fourth proportional to 4,666.84, 6,439.14 and 2,779 is: 3,834.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.84 : 6,439.14 = 2,779 : x
  2. Step 2: Convert to fraction form
    4,666.84/6,439.14 = 2,779/x
  3. Step 3: Cross multiply
    4,666.84x = 6,439.14 × 2,779
  4. Step 4: Simplify right side
    4,666.84x = 17,894,370.06
  5. Step 5: Solve for x
    x = 17,894,370.06/4,666.84
  6. Step 6: Final answer
    x = 3,834.37

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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.