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Finding the Fourth Proportional to 5,314.36, 7,967.93 and 2,975.97

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Solution

The fourth proportional to 5,314.36, 7,967.93 and 2,975.97 is: 4,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.36 : 7,967.93 = 2,975.97 : x
  2. Step 2: Convert to fraction form
    5,314.36/7,967.93 = 2,975.97/x
  3. Step 3: Cross multiply
    5,314.36x = 7,967.93 × 2,975.97
  4. Step 4: Simplify right side
    5,314.36x = 23,712,328.08
  5. Step 5: Solve for x
    x = 23,712,328.08/5,314.36
  6. Step 6: Final answer
    x = 4,461.94

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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.