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Finding the Fourth Proportional to 3,548.68, 4,901.64 and 2,991

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Solution

The fourth proportional to 3,548.68, 4,901.64 and 2,991 is: 4,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.68 : 4,901.64 = 2,991 : x
  2. Step 2: Convert to fraction form
    3,548.68/4,901.64 = 2,991/x
  3. Step 3: Cross multiply
    3,548.68x = 4,901.64 × 2,991
  4. Step 4: Simplify right side
    3,548.68x = 14,660,805.24
  5. Step 5: Solve for x
    x = 14,660,805.24/3,548.68
  6. Step 6: Final answer
    x = 4,131.34

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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.