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Finding the Fourth Proportional to 3,979.19, 5,973.33 and 3,102.64

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Solution

The fourth proportional to 3,979.19, 5,973.33 and 3,102.64 is: 4,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.19 : 5,973.33 = 3,102.64 : x
  2. Step 2: Convert to fraction form
    3,979.19/5,973.33 = 3,102.64/x
  3. Step 3: Cross multiply
    3,979.19x = 5,973.33 × 3,102.64
  4. Step 4: Simplify right side
    3,979.19x = 18,533,089.29
  5. Step 5: Solve for x
    x = 18,533,089.29/3,979.19
  6. Step 6: Final answer
    x = 4,657.50

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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.