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Finding the Fourth Proportional to 4,828.64, 7,246.62 and 3,184.64

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Solution

The fourth proportional to 4,828.64, 7,246.62 and 3,184.64 is: 4,779.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.64 : 7,246.62 = 3,184.64 : x
  2. Step 2: Convert to fraction form
    4,828.64/7,246.62 = 3,184.64/x
  3. Step 3: Cross multiply
    4,828.64x = 7,246.62 × 3,184.64
  4. Step 4: Simplify right side
    4,828.64x = 23,077,875.92
  5. Step 5: Solve for x
    x = 23,077,875.92/4,828.64
  6. Step 6: Final answer
    x = 4,779.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.