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Finding the Fourth Proportional to 5,696.00, 7,859.53 and 3,804.54

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Solution

The fourth proportional to 5,696.00, 7,859.53 and 3,804.54 is: 5,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.00 : 7,859.53 = 3,804.54 : x
  2. Step 2: Convert to fraction form
    5,696.00/7,859.53 = 3,804.54/x
  3. Step 3: Cross multiply
    5,696.00x = 7,859.53 × 3,804.54
  4. Step 4: Simplify right side
    5,696.00x = 29,901,937.86
  5. Step 5: Solve for x
    x = 29,901,937.86/5,696.00
  6. Step 6: Final answer
    x = 5,249.64

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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.