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Finding the Fourth Proportional to 3,658.61, 5,047.26 and 2,165.51

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Solution

The fourth proportional to 3,658.61, 5,047.26 and 2,165.51 is: 2,987.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.61 : 5,047.26 = 2,165.51 : x
  2. Step 2: Convert to fraction form
    3,658.61/5,047.26 = 2,165.51/x
  3. Step 3: Cross multiply
    3,658.61x = 5,047.26 × 2,165.51
  4. Step 4: Simplify right side
    3,658.61x = 10,929,892.00
  5. Step 5: Solve for x
    x = 10,929,892.00/3,658.61
  6. Step 6: Final answer
    x = 2,987.44

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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.