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Finding the Fourth Proportional to 3,507.32, 5,262.60 and 2,413.82

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Solution

The fourth proportional to 3,507.32, 5,262.60 and 2,413.82 is: 3,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.32 : 5,262.60 = 2,413.82 : x
  2. Step 2: Convert to fraction form
    3,507.32/5,262.60 = 2,413.82/x
  3. Step 3: Cross multiply
    3,507.32x = 5,262.60 × 2,413.82
  4. Step 4: Simplify right side
    3,507.32x = 12,702,969.13
  5. Step 5: Solve for x
    x = 12,702,969.13/3,507.32
  6. Step 6: Final answer
    x = 3,621.84

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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.