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Finding the Fourth Proportional to 4,956.16, 6,835.92 and 4,208.94

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Solution

The fourth proportional to 4,956.16, 6,835.92 and 4,208.94 is: 5,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.16 : 6,835.92 = 4,208.94 : x
  2. Step 2: Convert to fraction form
    4,956.16/6,835.92 = 4,208.94/x
  3. Step 3: Cross multiply
    4,956.16x = 6,835.92 × 4,208.94
  4. Step 4: Simplify right side
    4,956.16x = 28,771,977.12
  5. Step 5: Solve for x
    x = 28,771,977.12/4,956.16
  6. Step 6: Final answer
    x = 5,805.30

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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.