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Finding the Fourth Proportional to 3,656.29, 5,045.65 and 1,977.70

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Solution

The fourth proportional to 3,656.29, 5,045.65 and 1,977.70 is: 2,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.29 : 5,045.65 = 1,977.70 : x
  2. Step 2: Convert to fraction form
    3,656.29/5,045.65 = 1,977.70/x
  3. Step 3: Cross multiply
    3,656.29x = 5,045.65 × 1,977.70
  4. Step 4: Simplify right side
    3,656.29x = 9,978,782.01
  5. Step 5: Solve for x
    x = 9,978,782.01/3,656.29
  6. Step 6: Final answer
    x = 2,729.21

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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.