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Finding the Fourth Proportional to 5,184.44, 7,777.32 and 1,899.08

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Solution

The fourth proportional to 5,184.44, 7,777.32 and 1,899.08 is: 2,848.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.44 : 7,777.32 = 1,899.08 : x
  2. Step 2: Convert to fraction form
    5,184.44/7,777.32 = 1,899.08/x
  3. Step 3: Cross multiply
    5,184.44x = 7,777.32 × 1,899.08
  4. Step 4: Simplify right side
    5,184.44x = 14,769,752.87
  5. Step 5: Solve for x
    x = 14,769,752.87/5,184.44
  6. Step 6: Final answer
    x = 2,848.86

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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.