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Finding the Fourth Proportional to 3,850.53, 5,774.77 and 1,077.03

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Solution

The fourth proportional to 3,850.53, 5,774.77 and 1,077.03 is: 1,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.53 : 5,774.77 = 1,077.03 : x
  2. Step 2: Convert to fraction form
    3,850.53/5,774.77 = 1,077.03/x
  3. Step 3: Cross multiply
    3,850.53x = 5,774.77 × 1,077.03
  4. Step 4: Simplify right side
    3,850.53x = 6,219,600.53
  5. Step 5: Solve for x
    x = 6,219,600.53/3,850.53
  6. Step 6: Final answer
    x = 1,615.26

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1.5x scale

Why These Related Problems?

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