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Finding the Fourth Proportional to 2,977.04, 4,113.42 and 2,871.92

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Solution

The fourth proportional to 2,977.04, 4,113.42 and 2,871.92 is: 3,968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.04 : 4,113.42 = 2,871.92 : x
  2. Step 2: Convert to fraction form
    2,977.04/4,113.42 = 2,871.92/x
  3. Step 3: Cross multiply
    2,977.04x = 4,113.42 × 2,871.92
  4. Step 4: Simplify right side
    2,977.04x = 11,813,413.17
  5. Step 5: Solve for x
    x = 11,813,413.17/2,977.04
  6. Step 6: Final answer
    x = 3,968.17

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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.