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Finding the Fourth Proportional to 5,356.51, 8,035.90 and 1,658.65

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Solution

The fourth proportional to 5,356.51, 8,035.90 and 1,658.65 is: 2,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.51 : 8,035.90 = 1,658.65 : x
  2. Step 2: Convert to fraction form
    5,356.51/8,035.90 = 1,658.65/x
  3. Step 3: Cross multiply
    5,356.51x = 8,035.90 × 1,658.65
  4. Step 4: Simplify right side
    5,356.51x = 13,328,745.54
  5. Step 5: Solve for x
    x = 13,328,745.54/5,356.51
  6. Step 6: Final answer
    x = 2,488.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.