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Finding the Fourth Proportional to 4,842.57, 6,682.75 and 2,746.70

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Solution

The fourth proportional to 4,842.57, 6,682.75 and 2,746.70 is: 3,790.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.57 : 6,682.75 = 2,746.70 : x
  2. Step 2: Convert to fraction form
    4,842.57/6,682.75 = 2,746.70/x
  3. Step 3: Cross multiply
    4,842.57x = 6,682.75 × 2,746.70
  4. Step 4: Simplify right side
    4,842.57x = 18,355,509.43
  5. Step 5: Solve for x
    x = 18,355,509.43/4,842.57
  6. Step 6: Final answer
    x = 3,790.45

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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.