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Finding the Fourth Proportional to 5,779.84, 7,976.16 and 3,127.24

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Solution

The fourth proportional to 5,779.84, 7,976.16 and 3,127.24 is: 4,315.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.84 : 7,976.16 = 3,127.24 : x
  2. Step 2: Convert to fraction form
    5,779.84/7,976.16 = 3,127.24/x
  3. Step 3: Cross multiply
    5,779.84x = 7,976.16 × 3,127.24
  4. Step 4: Simplify right side
    5,779.84x = 24,943,366.60
  5. Step 5: Solve for x
    x = 24,943,366.60/5,779.84
  6. Step 6: Final answer
    x = 4,315.58

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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.