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Finding the Fourth Proportional to 4,851.92, 6,698.76 and 4,234.16

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Solution

The fourth proportional to 4,851.92, 6,698.76 and 4,234.16 is: 5,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.92 : 6,698.76 = 4,234.16 : x
  2. Step 2: Convert to fraction form
    4,851.92/6,698.76 = 4,234.16/x
  3. Step 3: Cross multiply
    4,851.92x = 6,698.76 × 4,234.16
  4. Step 4: Simplify right side
    4,851.92x = 28,363,621.64
  5. Step 5: Solve for x
    x = 28,363,621.64/4,851.92
  6. Step 6: Final answer
    x = 5,845.86

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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.