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Finding the Fourth Proportional to 5,078.64, 7,600.66 and 4,257.84

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Solution

The fourth proportional to 5,078.64, 7,600.66 and 4,257.84 is: 6,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.64 : 7,600.66 = 4,257.84 : x
  2. Step 2: Convert to fraction form
    5,078.64/7,600.66 = 4,257.84/x
  3. Step 3: Cross multiply
    5,078.64x = 7,600.66 × 4,257.84
  4. Step 4: Simplify right side
    5,078.64x = 32,362,394.17
  5. Step 5: Solve for x
    x = 32,362,394.17/5,078.64
  6. Step 6: Final answer
    x = 6,372.26

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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.