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Finding the Fourth Proportional to 5,782.58, 7,982.91 and 4,011.11

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Solution

The fourth proportional to 5,782.58, 7,982.91 and 4,011.11 is: 5,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.58 : 7,982.91 = 4,011.11 : x
  2. Step 2: Convert to fraction form
    5,782.58/7,982.91 = 4,011.11/x
  3. Step 3: Cross multiply
    5,782.58x = 7,982.91 × 4,011.11
  4. Step 4: Simplify right side
    5,782.58x = 32,020,330.13
  5. Step 5: Solve for x
    x = 32,020,330.13/5,782.58
  6. Step 6: Final answer
    x = 5,537.38

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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.