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Finding the Fourth Proportional to 3,133.46, 4,700.24 and 942.07

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Solution

The fourth proportional to 3,133.46, 4,700.24 and 942.07 is: 1,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.46 : 4,700.24 = 942.07 : x
  2. Step 2: Convert to fraction form
    3,133.46/4,700.24 = 942.07/x
  3. Step 3: Cross multiply
    3,133.46x = 4,700.24 × 942.07
  4. Step 4: Simplify right side
    3,133.46x = 4,427,938.64
  5. Step 5: Solve for x
    x = 4,427,938.64/3,133.46
  6. Step 6: Final answer
    x = 1,413.11

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