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Finding the Fourth Proportional to 4,971.63, 6,853.60 and 3,474.90

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Solution

The fourth proportional to 4,971.63, 6,853.60 and 3,474.90 is: 4,790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.63 : 6,853.60 = 3,474.90 : x
  2. Step 2: Convert to fraction form
    4,971.63/6,853.60 = 3,474.90/x
  3. Step 3: Cross multiply
    4,971.63x = 6,853.60 × 3,474.90
  4. Step 4: Simplify right side
    4,971.63x = 23,815,574.64
  5. Step 5: Solve for x
    x = 23,815,574.64/4,971.63
  6. Step 6: Final answer
    x = 4,790.30

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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.