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Finding the Fourth Proportional to 5,134.37, 7,701.57 and 1,848.42

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Solution

The fourth proportional to 5,134.37, 7,701.57 and 1,848.42 is: 2,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.37 : 7,701.57 = 1,848.42 : x
  2. Step 2: Convert to fraction form
    5,134.37/7,701.57 = 1,848.42/x
  3. Step 3: Cross multiply
    5,134.37x = 7,701.57 × 1,848.42
  4. Step 4: Simplify right side
    5,134.37x = 14,235,736.02
  5. Step 5: Solve for x
    x = 14,235,736.02/5,134.37
  6. Step 6: Final answer
    x = 2,772.64

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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.