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Finding the Fourth Proportional to 3,973.09, 5,953.14 and 2,413.57

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Solution

The fourth proportional to 3,973.09, 5,953.14 and 2,413.57 is: 3,616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.09 : 5,953.14 = 2,413.57 : x
  2. Step 2: Convert to fraction form
    3,973.09/5,953.14 = 2,413.57/x
  3. Step 3: Cross multiply
    3,973.09x = 5,953.14 × 2,413.57
  4. Step 4: Simplify right side
    3,973.09x = 14,368,320.11
  5. Step 5: Solve for x
    x = 14,368,320.11/3,973.09
  6. Step 6: Final answer
    x = 3,616.41

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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.