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Finding the Fourth Proportional to 4,975.52, 7,463.37 and 1,277.76

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Solution

The fourth proportional to 4,975.52, 7,463.37 and 1,277.76 is: 1,916.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.52 : 7,463.37 = 1,277.76 : x
  2. Step 2: Convert to fraction form
    4,975.52/7,463.37 = 1,277.76/x
  3. Step 3: Cross multiply
    4,975.52x = 7,463.37 × 1,277.76
  4. Step 4: Simplify right side
    4,975.52x = 9,536,395.65
  5. Step 5: Solve for x
    x = 9,536,395.65/4,975.52
  6. Step 6: Final answer
    x = 1,916.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.