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Finding the Fourth Proportional to 4,858.64, 6,705.20 and 2,734.32

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Solution

The fourth proportional to 4,858.64, 6,705.20 and 2,734.32 is: 3,773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.64 : 6,705.20 = 2,734.32 : x
  2. Step 2: Convert to fraction form
    4,858.64/6,705.20 = 2,734.32/x
  3. Step 3: Cross multiply
    4,858.64x = 6,705.20 × 2,734.32
  4. Step 4: Simplify right side
    4,858.64x = 18,334,162.46
  5. Step 5: Solve for x
    x = 18,334,162.46/4,858.64
  6. Step 6: Final answer
    x = 3,773.52

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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.