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Finding the Fourth Proportional to 3,656.40, 5,045.84 and 1,977.81

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Solution

The fourth proportional to 3,656.40, 5,045.84 and 1,977.81 is: 2,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.40 : 5,045.84 = 1,977.81 : x
  2. Step 2: Convert to fraction form
    3,656.40/5,045.84 = 1,977.81/x
  3. Step 3: Cross multiply
    3,656.40x = 5,045.84 × 1,977.81
  4. Step 4: Simplify right side
    3,656.40x = 9,979,677.69
  5. Step 5: Solve for x
    x = 9,979,677.69/3,656.40
  6. Step 6: Final answer
    x = 2,729.37

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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.