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Finding the Fourth Proportional to 4,876.52, 7,315.50 and 1,413.32

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Solution

The fourth proportional to 4,876.52, 7,315.50 and 1,413.32 is: 2,120.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.52 : 7,315.50 = 1,413.32 : x
  2. Step 2: Convert to fraction form
    4,876.52/7,315.50 = 1,413.32/x
  3. Step 3: Cross multiply
    4,876.52x = 7,315.50 × 1,413.32
  4. Step 4: Simplify right side
    4,876.52x = 10,339,142.46
  5. Step 5: Solve for x
    x = 10,339,142.46/4,876.52
  6. Step 6: Final answer
    x = 2,120.19

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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.