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Finding the Fourth Proportional to 3,887.02, 5,830.94 and 1,422.06

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Solution

The fourth proportional to 3,887.02, 5,830.94 and 1,422.06 is: 2,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.02 : 5,830.94 = 1,422.06 : x
  2. Step 2: Convert to fraction form
    3,887.02/5,830.94 = 1,422.06/x
  3. Step 3: Cross multiply
    3,887.02x = 5,830.94 × 1,422.06
  4. Step 4: Simplify right side
    3,887.02x = 8,291,946.54
  5. Step 5: Solve for x
    x = 8,291,946.54/3,887.02
  6. Step 6: Final answer
    x = 2,133.24

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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.