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Finding the Fourth Proportional to 4,876.08, 7,314.36 and 1,413.40

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Solution

The fourth proportional to 4,876.08, 7,314.36 and 1,413.40 is: 2,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.08 : 7,314.36 = 1,413.40 : x
  2. Step 2: Convert to fraction form
    4,876.08/7,314.36 = 1,413.40/x
  3. Step 3: Cross multiply
    4,876.08x = 7,314.36 × 1,413.40
  4. Step 4: Simplify right side
    4,876.08x = 10,338,116.42
  5. Step 5: Solve for x
    x = 10,338,116.42/4,876.08
  6. Step 6: Final answer
    x = 2,120.17

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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.