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Finding the Fourth Proportional to 4,969.04, 7,483.06 and 4,327.52

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Solution

The fourth proportional to 4,969.04, 7,483.06 and 4,327.52 is: 6,516.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.04 : 7,483.06 = 4,327.52 : x
  2. Step 2: Convert to fraction form
    4,969.04/7,483.06 = 4,327.52/x
  3. Step 3: Cross multiply
    4,969.04x = 7,483.06 × 4,327.52
  4. Step 4: Simplify right side
    4,969.04x = 32,383,091.81
  5. Step 5: Solve for x
    x = 32,383,091.81/4,969.04
  6. Step 6: Final answer
    x = 6,516.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.