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Finding the Fourth Proportional to 5,123.58, 7,071.69 and 3,354.16

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Solution

The fourth proportional to 5,123.58, 7,071.69 and 3,354.16 is: 4,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.58 : 7,071.69 = 3,354.16 : x
  2. Step 2: Convert to fraction form
    5,123.58/7,071.69 = 3,354.16/x
  3. Step 3: Cross multiply
    5,123.58x = 7,071.69 × 3,354.16
  4. Step 4: Simplify right side
    5,123.58x = 23,719,579.73
  5. Step 5: Solve for x
    x = 23,719,579.73/5,123.58
  6. Step 6: Final answer
    x = 4,629.49

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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.