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Finding the Fourth Proportional to 4,679.30, 6,457.91 and 2,689.94

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Solution

The fourth proportional to 4,679.30, 6,457.91 and 2,689.94 is: 3,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.30 : 6,457.91 = 2,689.94 : x
  2. Step 2: Convert to fraction form
    4,679.30/6,457.91 = 2,689.94/x
  3. Step 3: Cross multiply
    4,679.30x = 6,457.91 × 2,689.94
  4. Step 4: Simplify right side
    4,679.30x = 17,371,390.43
  5. Step 5: Solve for x
    x = 17,371,390.43/4,679.30
  6. Step 6: Final answer
    x = 3,712.39

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Why These Related Problems?

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