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Finding the Fourth Proportional to 4,807.72, 7,193.72 and 4,219.96

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Solution

The fourth proportional to 4,807.72, 7,193.72 and 4,219.96 is: 6,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.72 : 7,193.72 = 4,219.96 : x
  2. Step 2: Convert to fraction form
    4,807.72/7,193.72 = 4,219.96/x
  3. Step 3: Cross multiply
    4,807.72x = 7,193.72 × 4,219.96
  4. Step 4: Simplify right side
    4,807.72x = 30,357,210.65
  5. Step 5: Solve for x
    x = 30,357,210.65/4,807.72
  6. Step 6: Final answer
    x = 6,314.26

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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.