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Finding the Fourth Proportional to 4,658.49, 6,954.53 and 4,046.97

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Solution

The fourth proportional to 4,658.49, 6,954.53 and 4,046.97 is: 6,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.49 : 6,954.53 = 4,046.97 : x
  2. Step 2: Convert to fraction form
    4,658.49/6,954.53 = 4,046.97/x
  3. Step 3: Cross multiply
    4,658.49x = 6,954.53 × 4,046.97
  4. Step 4: Simplify right side
    4,658.49x = 28,144,784.39
  5. Step 5: Solve for x
    x = 28,144,784.39/4,658.49
  6. Step 6: Final answer
    x = 6,041.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.