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Finding the Fourth Proportional to 4,693.27, 7,032.90 and 4,278.34

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Solution

The fourth proportional to 4,693.27, 7,032.90 and 4,278.34 is: 6,411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.27 : 7,032.90 = 4,278.34 : x
  2. Step 2: Convert to fraction form
    4,693.27/7,032.90 = 4,278.34/x
  3. Step 3: Cross multiply
    4,693.27x = 7,032.90 × 4,278.34
  4. Step 4: Simplify right side
    4,693.27x = 30,089,137.39
  5. Step 5: Solve for x
    x = 30,089,137.39/4,693.27
  6. Step 6: Final answer
    x = 6,411.12

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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.