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Finding the Fourth Proportional to 3,454.80, 4,776.84 and 3,017.40

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Solution

The fourth proportional to 3,454.80, 4,776.84 and 3,017.40 is: 4,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.80 : 4,776.84 = 3,017.40 : x
  2. Step 2: Convert to fraction form
    3,454.80/4,776.84 = 3,017.40/x
  3. Step 3: Cross multiply
    3,454.80x = 4,776.84 × 3,017.40
  4. Step 4: Simplify right side
    3,454.80x = 14,413,637.02
  5. Step 5: Solve for x
    x = 14,413,637.02/3,454.80
  6. Step 6: Final answer
    x = 4,172.06

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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.