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Finding the Fourth Proportional to 4,875.89, 7,314.37 and 1,413.14

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Solution

The fourth proportional to 4,875.89, 7,314.37 and 1,413.14 is: 2,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.89 : 7,314.37 = 1,413.14 : x
  2. Step 2: Convert to fraction form
    4,875.89/7,314.37 = 1,413.14/x
  3. Step 3: Cross multiply
    4,875.89x = 7,314.37 × 1,413.14
  4. Step 4: Simplify right side
    4,875.89x = 10,336,188.72
  5. Step 5: Solve for x
    x = 10,336,188.72/4,875.89
  6. Step 6: Final answer
    x = 2,119.86

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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.