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Finding the Fourth Proportional to 4,956.14, 6,822.30 and 4,283.63

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Solution

The fourth proportional to 4,956.14, 6,822.30 and 4,283.63 is: 5,896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.14 : 6,822.30 = 4,283.63 : x
  2. Step 2: Convert to fraction form
    4,956.14/6,822.30 = 4,283.63/x
  3. Step 3: Cross multiply
    4,956.14x = 6,822.30 × 4,283.63
  4. Step 4: Simplify right side
    4,956.14x = 29,224,242.81
  5. Step 5: Solve for x
    x = 29,224,242.81/4,956.14
  6. Step 6: Final answer
    x = 5,896.58

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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.