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Finding the Fourth Proportional to 3,485.32, 4,809 and 2,068.96

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Solution

The fourth proportional to 3,485.32, 4,809 and 2,068.96 is: 2,854.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.32 : 4,809 = 2,068.96 : x
  2. Step 2: Convert to fraction form
    3,485.32/4,809 = 2,068.96/x
  3. Step 3: Cross multiply
    3,485.32x = 4,809 × 2,068.96
  4. Step 4: Simplify right side
    3,485.32x = 9,949,628.64
  5. Step 5: Solve for x
    x = 9,949,628.64/3,485.32
  6. Step 6: Final answer
    x = 2,854.72

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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.