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Finding the Fourth Proportional to 3,771.42, 5,647.05 and 3,037.02

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Solution

The fourth proportional to 3,771.42, 5,647.05 and 3,037.02 is: 4,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.42 : 5,647.05 = 3,037.02 : x
  2. Step 2: Convert to fraction form
    3,771.42/5,647.05 = 3,037.02/x
  3. Step 3: Cross multiply
    3,771.42x = 5,647.05 × 3,037.02
  4. Step 4: Simplify right side
    3,771.42x = 17,150,203.79
  5. Step 5: Solve for x
    x = 17,150,203.79/3,771.42
  6. Step 6: Final answer
    x = 4,547.41

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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.