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Finding the Fourth Proportional to 5,692,795.21, 7,856,243.63 and 3,114,416.17

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Solution

The fourth proportional to 5,692,795.21, 7,856,243.63 and 3,114,416.17 is: 4,297,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692,795.21 : 7,856,243.63 = 3,114,416.17 : x
  2. Step 2: Convert to fraction form
    5,692,795.21/7,856,243.63 = 3,114,416.17/x
  3. Step 3: Cross multiply
    5,692,795.21x = 7,856,243.63 × 3,114,416.17
  4. Step 4: Simplify right side
    5,692,795.21x = 24,467,612,196,731.50
  5. Step 5: Solve for x
    x = 24,467,612,196,731.50/5,692,795.21
  6. Step 6: Final answer
    x = 4,297,996.20

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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.