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Finding the Fourth Proportional to 4,658.52, 6,429.02 and 2,669.68

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Solution

The fourth proportional to 4,658.52, 6,429.02 and 2,669.68 is: 3,684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.52 : 6,429.02 = 2,669.68 : x
  2. Step 2: Convert to fraction form
    4,658.52/6,429.02 = 2,669.68/x
  3. Step 3: Cross multiply
    4,658.52x = 6,429.02 × 2,669.68
  4. Step 4: Simplify right side
    4,658.52x = 17,163,426.11
  5. Step 5: Solve for x
    x = 17,163,426.11/4,658.52
  6. Step 6: Final answer
    x = 3,684.31

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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.