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Finding the Fourth Proportional to 3,413.83, 5,119.84 and 948.07

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Solution

The fourth proportional to 3,413.83, 5,119.84 and 948.07 is: 1,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.83 : 5,119.84 = 948.07 : x
  2. Step 2: Convert to fraction form
    3,413.83/5,119.84 = 948.07/x
  3. Step 3: Cross multiply
    3,413.83x = 5,119.84 × 948.07
  4. Step 4: Simplify right side
    3,413.83x = 4,853,966.71
  5. Step 5: Solve for x
    x = 4,853,966.71/3,413.83
  6. Step 6: Final answer
    x = 1,421.85

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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.