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Finding the Fourth Proportional to 5,319.98, 7,977.54 and 1,856.42

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Solution

The fourth proportional to 5,319.98, 7,977.54 and 1,856.42 is: 2,783.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.98 : 7,977.54 = 1,856.42 : x
  2. Step 2: Convert to fraction form
    5,319.98/7,977.54 = 1,856.42/x
  3. Step 3: Cross multiply
    5,319.98x = 7,977.54 × 1,856.42
  4. Step 4: Simplify right side
    5,319.98x = 14,809,664.81
  5. Step 5: Solve for x
    x = 14,809,664.81/5,319.98
  6. Step 6: Final answer
    x = 2,783.78

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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.