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Finding the Fourth Proportional to 4,608.83, 6,355.17 and 3,114.16

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Solution

The fourth proportional to 4,608.83, 6,355.17 and 3,114.16 is: 4,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.83 : 6,355.17 = 3,114.16 : x
  2. Step 2: Convert to fraction form
    4,608.83/6,355.17 = 3,114.16/x
  3. Step 3: Cross multiply
    4,608.83x = 6,355.17 × 3,114.16
  4. Step 4: Simplify right side
    4,608.83x = 19,790,968.86
  5. Step 5: Solve for x
    x = 19,790,968.86/4,608.83
  6. Step 6: Final answer
    x = 4,294.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.