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Finding the Fourth Proportional to 5,312.74, 7,968.02 and 2,975.08

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Solution

The fourth proportional to 5,312.74, 7,968.02 and 2,975.08 is: 4,462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.74 : 7,968.02 = 2,975.08 : x
  2. Step 2: Convert to fraction form
    5,312.74/7,968.02 = 2,975.08/x
  3. Step 3: Cross multiply
    5,312.74x = 7,968.02 × 2,975.08
  4. Step 4: Simplify right side
    5,312.74x = 23,705,496.94
  5. Step 5: Solve for x
    x = 23,705,496.94/5,312.74
  6. Step 6: Final answer
    x = 4,462.01

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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.