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Finding the Fourth Proportional to 4,658.42, 6,428.42 and 2,769.98

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Solution

The fourth proportional to 4,658.42, 6,428.42 and 2,769.98 is: 3,822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.42 : 6,428.42 = 2,769.98 : x
  2. Step 2: Convert to fraction form
    4,658.42/6,428.42 = 2,769.98/x
  3. Step 3: Cross multiply
    4,658.42x = 6,428.42 × 2,769.98
  4. Step 4: Simplify right side
    4,658.42x = 17,806,594.83
  5. Step 5: Solve for x
    x = 17,806,594.83/4,658.42
  6. Step 6: Final answer
    x = 3,822.45

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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.