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Finding the Fourth Proportional to 3,975.02, 5,962.49 and 973.07

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Solution

The fourth proportional to 3,975.02, 5,962.49 and 973.07 is: 1,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.02 : 5,962.49 = 973.07 : x
  2. Step 2: Convert to fraction form
    3,975.02/5,962.49 = 973.07/x
  3. Step 3: Cross multiply
    3,975.02x = 5,962.49 × 973.07
  4. Step 4: Simplify right side
    3,975.02x = 5,801,920.14
  5. Step 5: Solve for x
    x = 5,801,920.14/3,975.02
  6. Step 6: Final answer
    x = 1,459.60

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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.