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Finding the Fourth Proportional to 3,606.71, 5,413.10 and 1,416.97

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Solution

The fourth proportional to 3,606.71, 5,413.10 and 1,416.97 is: 2,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.71 : 5,413.10 = 1,416.97 : x
  2. Step 2: Convert to fraction form
    3,606.71/5,413.10 = 1,416.97/x
  3. Step 3: Cross multiply
    3,606.71x = 5,413.10 × 1,416.97
  4. Step 4: Simplify right side
    3,606.71x = 7,670,199.99
  5. Step 5: Solve for x
    x = 7,670,199.99/3,606.71
  6. Step 6: Final answer
    x = 2,126.65

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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.