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Finding the Fourth Proportional to 3,656.58, 5,045.77 and 2,164.24

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Solution

The fourth proportional to 3,656.58, 5,045.77 and 2,164.24 is: 2,986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.58 : 5,045.77 = 2,164.24 : x
  2. Step 2: Convert to fraction form
    3,656.58/5,045.77 = 2,164.24/x
  3. Step 3: Cross multiply
    3,656.58x = 5,045.77 × 2,164.24
  4. Step 4: Simplify right side
    3,656.58x = 10,920,232.04
  5. Step 5: Solve for x
    x = 10,920,232.04/3,656.58
  6. Step 6: Final answer
    x = 2,986.46

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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.