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Finding the Fourth Proportional to 4,768.83, 6,577.70 and 3,355.47

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Solution

The fourth proportional to 4,768.83, 6,577.70 and 3,355.47 is: 4,628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.83 : 6,577.70 = 3,355.47 : x
  2. Step 2: Convert to fraction form
    4,768.83/6,577.70 = 3,355.47/x
  3. Step 3: Cross multiply
    4,768.83x = 6,577.70 × 3,355.47
  4. Step 4: Simplify right side
    4,768.83x = 22,071,258.24
  5. Step 5: Solve for x
    x = 22,071,258.24/4,768.83
  6. Step 6: Final answer
    x = 4,628.23

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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.