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Finding the Fourth Proportional to 4,829, 6,664.38 and 2,966.36

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Solution

The fourth proportional to 4,829, 6,664.38 and 2,966.36 is: 4,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829 : 6,664.38 = 2,966.36 : x
  2. Step 2: Convert to fraction form
    4,829/6,664.38 = 2,966.36/x
  3. Step 3: Cross multiply
    4,829x = 6,664.38 × 2,966.36
  4. Step 4: Simplify right side
    4,829x = 19,768,950.26
  5. Step 5: Solve for x
    x = 19,768,950.26/4,829
  6. Step 6: Final answer
    x = 4,093.80

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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.