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Finding the Fourth Proportional to 5,219.22, 7,810.20 and 4,533.96

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Solution

The fourth proportional to 5,219.22, 7,810.20 and 4,533.96 is: 6,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.22 : 7,810.20 = 4,533.96 : x
  2. Step 2: Convert to fraction form
    5,219.22/7,810.20 = 4,533.96/x
  3. Step 3: Cross multiply
    5,219.22x = 7,810.20 × 4,533.96
  4. Step 4: Simplify right side
    5,219.22x = 35,411,134.39
  5. Step 5: Solve for x
    x = 35,411,134.39/5,219.22
  6. Step 6: Final answer
    x = 6,784.76

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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.