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Finding the Fourth Proportional to 4,975.96, 7,462.74 and 1,465.01

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Solution

The fourth proportional to 4,975.96, 7,462.74 and 1,465.01 is: 2,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.96 : 7,462.74 = 1,465.01 : x
  2. Step 2: Convert to fraction form
    4,975.96/7,462.74 = 1,465.01/x
  3. Step 3: Cross multiply
    4,975.96x = 7,462.74 × 1,465.01
  4. Step 4: Simplify right side
    4,975.96x = 10,932,997.64
  5. Step 5: Solve for x
    x = 10,932,997.64/4,975.96
  6. Step 6: Final answer
    x = 2,197.16

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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.