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Finding the Fourth Proportional to 5,786.54, 7,987.38 and 4,458.54

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Solution

The fourth proportional to 5,786.54, 7,987.38 and 4,458.54 is: 6,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.54 : 7,987.38 = 4,458.54 : x
  2. Step 2: Convert to fraction form
    5,786.54/7,987.38 = 4,458.54/x
  3. Step 3: Cross multiply
    5,786.54x = 7,987.38 × 4,458.54
  4. Step 4: Simplify right side
    5,786.54x = 35,612,053.23
  5. Step 5: Solve for x
    x = 35,612,053.23/5,786.54
  6. Step 6: Final answer
    x = 6,154.30

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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.