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Finding the Fourth Proportional to 4,737.42, 7,106.31 and 1,274.76

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Solution

The fourth proportional to 4,737.42, 7,106.31 and 1,274.76 is: 1,912.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.42 : 7,106.31 = 1,274.76 : x
  2. Step 2: Convert to fraction form
    4,737.42/7,106.31 = 1,274.76/x
  3. Step 3: Cross multiply
    4,737.42x = 7,106.31 × 1,274.76
  4. Step 4: Simplify right side
    4,737.42x = 9,058,839.74
  5. Step 5: Solve for x
    x = 9,058,839.74/4,737.42
  6. Step 6: Final answer
    x = 1,912.19

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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.