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Finding the Fourth Proportional to 3,460.63, 4,774.26 and 2,413.30

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Solution

The fourth proportional to 3,460.63, 4,774.26 and 2,413.30 is: 3,329.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.63 : 4,774.26 = 2,413.30 : x
  2. Step 2: Convert to fraction form
    3,460.63/4,774.26 = 2,413.30/x
  3. Step 3: Cross multiply
    3,460.63x = 4,774.26 × 2,413.30
  4. Step 4: Simplify right side
    3,460.63x = 11,521,721.66
  5. Step 5: Solve for x
    x = 11,521,721.66/3,460.63
  6. Step 6: Final answer
    x = 3,329.37

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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.