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Finding the Fourth Proportional to 4,658.38, 6,428.99 and 2,669.58

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Solution

The fourth proportional to 4,658.38, 6,428.99 and 2,669.58 is: 3,684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.38 : 6,428.99 = 2,669.58 : x
  2. Step 2: Convert to fraction form
    4,658.38/6,428.99 = 2,669.58/x
  3. Step 3: Cross multiply
    4,658.38x = 6,428.99 × 2,669.58
  4. Step 4: Simplify right side
    4,658.38x = 17,162,703.12
  5. Step 5: Solve for x
    x = 17,162,703.12/4,658.38
  6. Step 6: Final answer
    x = 3,684.26

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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.