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Finding the Fourth Proportional to 4,714.45, 7,071.18 and 1,941.46

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Solution

The fourth proportional to 4,714.45, 7,071.18 and 1,941.46 is: 2,911.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.45 : 7,071.18 = 1,941.46 : x
  2. Step 2: Convert to fraction form
    4,714.45/7,071.18 = 1,941.46/x
  3. Step 3: Cross multiply
    4,714.45x = 7,071.18 × 1,941.46
  4. Step 4: Simplify right side
    4,714.45x = 13,728,413.12
  5. Step 5: Solve for x
    x = 13,728,413.12/4,714.45
  6. Step 6: Final answer
    x = 2,911.99

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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.