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Finding the Fourth Proportional to 4,607.07, 6,355.73 and 3,114.44

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Solution

The fourth proportional to 4,607.07, 6,355.73 and 3,114.44 is: 4,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.07 : 6,355.73 = 3,114.44 : x
  2. Step 2: Convert to fraction form
    4,607.07/6,355.73 = 3,114.44/x
  3. Step 3: Cross multiply
    4,607.07x = 6,355.73 × 3,114.44
  4. Step 4: Simplify right side
    4,607.07x = 19,794,539.74
  5. Step 5: Solve for x
    x = 19,794,539.74/4,607.07
  6. Step 6: Final answer
    x = 4,296.56

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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.