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Finding the Fourth Proportional to 4,326.58, 5,971 and 2,558.14

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Solution

The fourth proportional to 4,326.58, 5,971 and 2,558.14 is: 3,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.58 : 5,971 = 2,558.14 : x
  2. Step 2: Convert to fraction form
    4,326.58/5,971 = 2,558.14/x
  3. Step 3: Cross multiply
    4,326.58x = 5,971 × 2,558.14
  4. Step 4: Simplify right side
    4,326.58x = 15,274,653.94
  5. Step 5: Solve for x
    x = 15,274,653.94/4,326.58
  6. Step 6: Final answer
    x = 3,530.42

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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.