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Finding the Fourth Proportional to 3,460.88, 4,774.56 and 2,413.56

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Solution

The fourth proportional to 3,460.88, 4,774.56 and 2,413.56 is: 3,329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.88 : 4,774.56 = 2,413.56 : x
  2. Step 2: Convert to fraction form
    3,460.88/4,774.56 = 2,413.56/x
  3. Step 3: Cross multiply
    3,460.88x = 4,774.56 × 2,413.56
  4. Step 4: Simplify right side
    3,460.88x = 11,523,687.03
  5. Step 5: Solve for x
    x = 11,523,687.03/3,460.88
  6. Step 6: Final answer
    x = 3,329.70

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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.