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Finding the Fourth Proportional to 4,645.02, 6,413.13 and 2,878.50

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Solution

The fourth proportional to 4,645.02, 6,413.13 and 2,878.50 is: 3,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.02 : 6,413.13 = 2,878.50 : x
  2. Step 2: Convert to fraction form
    4,645.02/6,413.13 = 2,878.50/x
  3. Step 3: Cross multiply
    4,645.02x = 6,413.13 × 2,878.50
  4. Step 4: Simplify right side
    4,645.02x = 18,460,194.71
  5. Step 5: Solve for x
    x = 18,460,194.71/4,645.02
  6. Step 6: Final answer
    x = 3,974.19

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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.