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Finding the Fourth Proportional to 5,627.76, 7,765.64 and 3,389.60

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Solution

The fourth proportional to 5,627.76, 7,765.64 and 3,389.60 is: 4,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.76 : 7,765.64 = 3,389.60 : x
  2. Step 2: Convert to fraction form
    5,627.76/7,765.64 = 3,389.60/x
  3. Step 3: Cross multiply
    5,627.76x = 7,765.64 × 3,389.60
  4. Step 4: Simplify right side
    5,627.76x = 26,322,413.34
  5. Step 5: Solve for x
    x = 26,322,413.34/5,627.76
  6. Step 6: Final answer
    x = 4,677.25

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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.