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Finding the Fourth Proportional to 4,402.66, 6,075.66 and 2,413.21

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Solution

The fourth proportional to 4,402.66, 6,075.66 and 2,413.21 is: 3,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.66 : 6,075.66 = 2,413.21 : x
  2. Step 2: Convert to fraction form
    4,402.66/6,075.66 = 2,413.21/x
  3. Step 3: Cross multiply
    4,402.66x = 6,075.66 × 2,413.21
  4. Step 4: Simplify right side
    4,402.66x = 14,661,843.47
  5. Step 5: Solve for x
    x = 14,661,843.47/4,402.66
  6. Step 6: Final answer
    x = 3,330.22

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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.