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Finding the Fourth Proportional to 3,905.01, 5,384.31 and 3,156.64

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Solution

The fourth proportional to 3,905.01, 5,384.31 and 3,156.64 is: 4,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.01 : 5,384.31 = 3,156.64 : x
  2. Step 2: Convert to fraction form
    3,905.01/5,384.31 = 3,156.64/x
  3. Step 3: Cross multiply
    3,905.01x = 5,384.31 × 3,156.64
  4. Step 4: Simplify right side
    3,905.01x = 16,996,303.02
  5. Step 5: Solve for x
    x = 16,996,303.02/3,905.01
  6. Step 6: Final answer
    x = 4,352.44

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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.