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Finding the Fourth Proportional to 4,658.09, 6,428.72 and 2,669.28

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Solution

The fourth proportional to 4,658.09, 6,428.72 and 2,669.28 is: 3,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.09 : 6,428.72 = 2,669.28 : x
  2. Step 2: Convert to fraction form
    4,658.09/6,428.72 = 2,669.28/x
  3. Step 3: Cross multiply
    4,658.09x = 6,428.72 × 2,669.28
  4. Step 4: Simplify right side
    4,658.09x = 17,160,040.38
  5. Step 5: Solve for x
    x = 17,160,040.38/4,658.09
  6. Step 6: Final answer
    x = 3,683.93

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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.