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Finding the Fourth Proportional to 4,975.38, 7,462.53 and 1,277.64

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Solution

The fourth proportional to 4,975.38, 7,462.53 and 1,277.64 is: 1,916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.38 : 7,462.53 = 1,277.64 : x
  2. Step 2: Convert to fraction form
    4,975.38/7,462.53 = 1,277.64/x
  3. Step 3: Cross multiply
    4,975.38x = 7,462.53 × 1,277.64
  4. Step 4: Simplify right side
    4,975.38x = 9,534,426.83
  5. Step 5: Solve for x
    x = 9,534,426.83/4,975.38
  6. Step 6: Final answer
    x = 1,916.32

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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.