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Finding the Fourth Proportional to 4,975.94, 7,463.76 and 1,278.02

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Solution

The fourth proportional to 4,975.94, 7,463.76 and 1,278.02 is: 1,916.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.94 : 7,463.76 = 1,278.02 : x
  2. Step 2: Convert to fraction form
    4,975.94/7,463.76 = 1,278.02/x
  3. Step 3: Cross multiply
    4,975.94x = 7,463.76 × 1,278.02
  4. Step 4: Simplify right side
    4,975.94x = 9,538,834.56
  5. Step 5: Solve for x
    x = 9,538,834.56/4,975.94
  6. Step 6: Final answer
    x = 1,916.99

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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.