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Finding the Fourth Proportional to 4,812.86, 7,235.76 and 4,452.14

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Solution

The fourth proportional to 4,812.86, 7,235.76 and 4,452.14 is: 6,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.86 : 7,235.76 = 4,452.14 : x
  2. Step 2: Convert to fraction form
    4,812.86/7,235.76 = 4,452.14/x
  3. Step 3: Cross multiply
    4,812.86x = 7,235.76 × 4,452.14
  4. Step 4: Simplify right side
    4,812.86x = 32,214,616.53
  5. Step 5: Solve for x
    x = 32,214,616.53/4,812.86
  6. Step 6: Final answer
    x = 6,693.45

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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.