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Finding the Fourth Proportional to 4,828.96, 6,661.32 and 3,148.24

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Solution

The fourth proportional to 4,828.96, 6,661.32 and 3,148.24 is: 4,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.96 : 6,661.32 = 3,148.24 : x
  2. Step 2: Convert to fraction form
    4,828.96/6,661.32 = 3,148.24/x
  3. Step 3: Cross multiply
    4,828.96x = 6,661.32 × 3,148.24
  4. Step 4: Simplify right side
    4,828.96x = 20,971,434.08
  5. Step 5: Solve for x
    x = 20,971,434.08/4,828.96
  6. Step 6: Final answer
    x = 4,342.85

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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.