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Finding the Fourth Proportional to 3,460.52, 4,774.10 and 2,413.19

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Solution

The fourth proportional to 3,460.52, 4,774.10 and 2,413.19 is: 3,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.52 : 4,774.10 = 2,413.19 : x
  2. Step 2: Convert to fraction form
    3,460.52/4,774.10 = 2,413.19/x
  3. Step 3: Cross multiply
    3,460.52x = 4,774.10 × 2,413.19
  4. Step 4: Simplify right side
    3,460.52x = 11,520,774.44
  5. Step 5: Solve for x
    x = 11,520,774.44/3,460.52
  6. Step 6: Final answer
    x = 3,329.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.