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Finding the Fourth Proportional to 3,731.60, 5,597.40 and 3,464.30

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Solution

The fourth proportional to 3,731.60, 5,597.40 and 3,464.30 is: 5,196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.60 : 5,597.40 = 3,464.30 : x
  2. Step 2: Convert to fraction form
    3,731.60/5,597.40 = 3,464.30/x
  3. Step 3: Cross multiply
    3,731.60x = 5,597.40 × 3,464.30
  4. Step 4: Simplify right side
    3,731.60x = 19,391,072.82
  5. Step 5: Solve for x
    x = 19,391,072.82/3,731.60
  6. Step 6: Final answer
    x = 5,196.45

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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.