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Finding the Fourth Proportional to 3,133.13, 4,700.47 and 941.86

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Solution

The fourth proportional to 3,133.13, 4,700.47 and 941.86 is: 1,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.13 : 4,700.47 = 941.86 : x
  2. Step 2: Convert to fraction form
    3,133.13/4,700.47 = 941.86/x
  3. Step 3: Cross multiply
    3,133.13x = 4,700.47 × 941.86
  4. Step 4: Simplify right side
    3,133.13x = 4,427,195.08
  5. Step 5: Solve for x
    x = 4,427,195.08/3,133.13
  6. Step 6: Final answer
    x = 1,413.02

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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.