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Finding the Fourth Proportional to 4,737.42, 7,106.22 and 1,274.58

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Solution

The fourth proportional to 4,737.42, 7,106.22 and 1,274.58 is: 1,911.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.42 : 7,106.22 = 1,274.58 : x
  2. Step 2: Convert to fraction form
    4,737.42/7,106.22 = 1,274.58/x
  3. Step 3: Cross multiply
    4,737.42x = 7,106.22 × 1,274.58
  4. Step 4: Simplify right side
    4,737.42x = 9,057,445.89
  5. Step 5: Solve for x
    x = 9,057,445.89/4,737.42
  6. Step 6: Final answer
    x = 1,911.89

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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.