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Finding the Fourth Proportional to 3,434.84, 5,152.26 and 2,413.40

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Solution

The fourth proportional to 3,434.84, 5,152.26 and 2,413.40 is: 3,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.84 : 5,152.26 = 2,413.40 : x
  2. Step 2: Convert to fraction form
    3,434.84/5,152.26 = 2,413.40/x
  3. Step 3: Cross multiply
    3,434.84x = 5,152.26 × 2,413.40
  4. Step 4: Simplify right side
    3,434.84x = 12,434,464.28
  5. Step 5: Solve for x
    x = 12,434,464.28/3,434.84
  6. Step 6: Final answer
    x = 3,620.10

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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.