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Finding the Fourth Proportional to 4,943.84, 7,413.02 and 3,758.30

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Solution

The fourth proportional to 4,943.84, 7,413.02 and 3,758.30 is: 5,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.84 : 7,413.02 = 3,758.30 : x
  2. Step 2: Convert to fraction form
    4,943.84/7,413.02 = 3,758.30/x
  3. Step 3: Cross multiply
    4,943.84x = 7,413.02 × 3,758.30
  4. Step 4: Simplify right side
    4,943.84x = 27,860,339.10
  5. Step 5: Solve for x
    x = 27,860,339.10/4,943.84
  6. Step 6: Final answer
    x = 5,635.37

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1.5x scale

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.