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Finding the Fourth Proportional to 4,699.17, 6,484.73 and 2,812.14

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Solution

The fourth proportional to 4,699.17, 6,484.73 and 2,812.14 is: 3,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.17 : 6,484.73 = 2,812.14 : x
  2. Step 2: Convert to fraction form
    4,699.17/6,484.73 = 2,812.14/x
  3. Step 3: Cross multiply
    4,699.17x = 6,484.73 × 2,812.14
  4. Step 4: Simplify right side
    4,699.17x = 18,235,954.56
  5. Step 5: Solve for x
    x = 18,235,954.56/4,699.17
  6. Step 6: Final answer
    x = 3,880.68

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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.