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Finding the Fourth Proportional to 4,768.60, 7,188.65 and 4,451.44

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Solution

The fourth proportional to 4,768.60, 7,188.65 and 4,451.44 is: 6,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.60 : 7,188.65 = 4,451.44 : x
  2. Step 2: Convert to fraction form
    4,768.60/7,188.65 = 4,451.44/x
  3. Step 3: Cross multiply
    4,768.60x = 7,188.65 × 4,451.44
  4. Step 4: Simplify right side
    4,768.60x = 31,999,844.16
  5. Step 5: Solve for x
    x = 31,999,844.16/4,768.60
  6. Step 6: Final answer
    x = 6,710.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.