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Finding the Fourth Proportional to 5,779.94, 7,976.38 and 3,127.34

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Solution

The fourth proportional to 5,779.94, 7,976.38 and 3,127.34 is: 4,315.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.94 : 7,976.38 = 3,127.34 : x
  2. Step 2: Convert to fraction form
    5,779.94/7,976.38 = 3,127.34/x
  3. Step 3: Cross multiply
    5,779.94x = 7,976.38 × 3,127.34
  4. Step 4: Simplify right side
    5,779.94x = 24,944,852.23
  5. Step 5: Solve for x
    x = 24,944,852.23/5,779.94
  6. Step 6: Final answer
    x = 4,315.76

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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.