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Finding the Fourth Proportional to 4,442.84, 6,137.34 and 3,207.32

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Solution

The fourth proportional to 4,442.84, 6,137.34 and 3,207.32 is: 4,430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.84 : 6,137.34 = 3,207.32 : x
  2. Step 2: Convert to fraction form
    4,442.84/6,137.34 = 3,207.32/x
  3. Step 3: Cross multiply
    4,442.84x = 6,137.34 × 3,207.32
  4. Step 4: Simplify right side
    4,442.84x = 19,684,413.33
  5. Step 5: Solve for x
    x = 19,684,413.33/4,442.84
  6. Step 6: Final answer
    x = 4,430.59

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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.