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Finding the Fourth Proportional to 4,402.68, 6,075.71 and 2,413.43

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Solution

The fourth proportional to 4,402.68, 6,075.71 and 2,413.43 is: 3,330.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.68 : 6,075.71 = 2,413.43 : x
  2. Step 2: Convert to fraction form
    4,402.68/6,075.71 = 2,413.43/x
  3. Step 3: Cross multiply
    4,402.68x = 6,075.71 × 2,413.43
  4. Step 4: Simplify right side
    4,402.68x = 14,663,258.34
  5. Step 5: Solve for x
    x = 14,663,258.34/4,402.68
  6. Step 6: Final answer
    x = 3,330.53

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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.