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Finding the Fourth Proportional to 5,212.40, 7,827.93 and 4,795.19

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Solution

The fourth proportional to 5,212.40, 7,827.93 and 4,795.19 is: 7,201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.40 : 7,827.93 = 4,795.19 : x
  2. Step 2: Convert to fraction form
    5,212.40/7,827.93 = 4,795.19/x
  3. Step 3: Cross multiply
    5,212.40x = 7,827.93 × 4,795.19
  4. Step 4: Simplify right side
    5,212.40x = 37,536,411.66
  5. Step 5: Solve for x
    x = 37,536,411.66/5,212.40
  6. Step 6: Final answer
    x = 7,201.37

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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.