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Finding the Fourth Proportional to 3,897.60, 5,840.63 and 2,338.44

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Solution

The fourth proportional to 3,897.60, 5,840.63 and 2,338.44 is: 3,504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.60 : 5,840.63 = 2,338.44 : x
  2. Step 2: Convert to fraction form
    3,897.60/5,840.63 = 2,338.44/x
  3. Step 3: Cross multiply
    3,897.60x = 5,840.63 × 2,338.44
  4. Step 4: Simplify right side
    3,897.60x = 13,657,962.82
  5. Step 5: Solve for x
    x = 13,657,962.82/3,897.60
  6. Step 6: Final answer
    x = 3,504.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.