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Finding the Fourth Proportional to 3,804.56, 5,256 and 3,250.76

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Solution

The fourth proportional to 3,804.56, 5,256 and 3,250.76 is: 4,490.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.56 : 5,256 = 3,250.76 : x
  2. Step 2: Convert to fraction form
    3,804.56/5,256 = 3,250.76/x
  3. Step 3: Cross multiply
    3,804.56x = 5,256 × 3,250.76
  4. Step 4: Simplify right side
    3,804.56x = 17,085,994.56
  5. Step 5: Solve for x
    x = 17,085,994.56/3,804.56
  6. Step 6: Final answer
    x = 4,490.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.