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Finding the Fourth Proportional to 3,666.85, 5,055.49 and 2,338.25

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Solution

The fourth proportional to 3,666.85, 5,055.49 and 2,338.25 is: 3,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.85 : 5,055.49 = 2,338.25 : x
  2. Step 2: Convert to fraction form
    3,666.85/5,055.49 = 2,338.25/x
  3. Step 3: Cross multiply
    3,666.85x = 5,055.49 × 2,338.25
  4. Step 4: Simplify right side
    3,666.85x = 11,820,962.52
  5. Step 5: Solve for x
    x = 11,820,962.52/3,666.85
  6. Step 6: Final answer
    x = 3,223.74

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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.