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Finding the Fourth Proportional to 5,742.60, 7,928.61 and 4,413.93

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Solution

The fourth proportional to 5,742.60, 7,928.61 and 4,413.93 is: 6,094.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.60 : 7,928.61 = 4,413.93 : x
  2. Step 2: Convert to fraction form
    5,742.60/7,928.61 = 4,413.93/x
  3. Step 3: Cross multiply
    5,742.60x = 7,928.61 × 4,413.93
  4. Step 4: Simplify right side
    5,742.60x = 34,996,329.54
  5. Step 5: Solve for x
    x = 34,996,329.54/5,742.60
  6. Step 6: Final answer
    x = 6,094.16

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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.