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Finding the Fourth Proportional to 5,284.32, 7,927.39 and 1,774.66

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Solution

The fourth proportional to 5,284.32, 7,927.39 and 1,774.66 is: 2,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.32 : 7,927.39 = 1,774.66 : x
  2. Step 2: Convert to fraction form
    5,284.32/7,927.39 = 1,774.66/x
  3. Step 3: Cross multiply
    5,284.32x = 7,927.39 × 1,774.66
  4. Step 4: Simplify right side
    5,284.32x = 14,068,413.06
  5. Step 5: Solve for x
    x = 14,068,413.06/5,284.32
  6. Step 6: Final answer
    x = 2,662.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.