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Finding the Fourth Proportional to 4,866, 6,715.24 and 2,658

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Solution

The fourth proportional to 4,866, 6,715.24 and 2,658 is: 3,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866 : 6,715.24 = 2,658 : x
  2. Step 2: Convert to fraction form
    4,866/6,715.24 = 2,658/x
  3. Step 3: Cross multiply
    4,866x = 6,715.24 × 2,658
  4. Step 4: Simplify right side
    4,866x = 17,849,107.92
  5. Step 5: Solve for x
    x = 17,849,107.92/4,866
  6. Step 6: Final answer
    x = 3,668.13

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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.