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Finding the Fourth Proportional to 3,905.66, 5,858.49 and 1,597.16

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Solution

The fourth proportional to 3,905.66, 5,858.49 and 1,597.16 is: 2,395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.66 : 5,858.49 = 1,597.16 : x
  2. Step 2: Convert to fraction form
    3,905.66/5,858.49 = 1,597.16/x
  3. Step 3: Cross multiply
    3,905.66x = 5,858.49 × 1,597.16
  4. Step 4: Simplify right side
    3,905.66x = 9,356,945.89
  5. Step 5: Solve for x
    x = 9,356,945.89/3,905.66
  6. Step 6: Final answer
    x = 2,395.74

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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.