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Finding the Fourth Proportional to 3,612.94, 5,413.91 and 2,575.13

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Solution

The fourth proportional to 3,612.94, 5,413.91 and 2,575.13 is: 3,858.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.94 : 5,413.91 = 2,575.13 : x
  2. Step 2: Convert to fraction form
    3,612.94/5,413.91 = 2,575.13/x
  3. Step 3: Cross multiply
    3,612.94x = 5,413.91 × 2,575.13
  4. Step 4: Simplify right side
    3,612.94x = 13,941,482.11
  5. Step 5: Solve for x
    x = 13,941,482.11/3,612.94
  6. Step 6: Final answer
    x = 3,858.77

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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.