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Finding the Fourth Proportional to 6,078.36, 8,378.04 and 4,817.19

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Solution

The fourth proportional to 6,078.36, 8,378.04 and 4,817.19 is: 6,639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.36 : 8,378.04 = 4,817.19 : x
  2. Step 2: Convert to fraction form
    6,078.36/8,378.04 = 4,817.19/x
  3. Step 3: Cross multiply
    6,078.36x = 8,378.04 × 4,817.19
  4. Step 4: Simplify right side
    6,078.36x = 40,358,610.51
  5. Step 5: Solve for x
    x = 40,358,610.51/6,078.36
  6. Step 6: Final answer
    x = 6,639.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.