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Finding the Fourth Proportional to 5,765.24, 8,642.88 and 2,300.24

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Solution

The fourth proportional to 5,765.24, 8,642.88 and 2,300.24 is: 3,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.24 : 8,642.88 = 2,300.24 : x
  2. Step 2: Convert to fraction form
    5,765.24/8,642.88 = 2,300.24/x
  3. Step 3: Cross multiply
    5,765.24x = 8,642.88 × 2,300.24
  4. Step 4: Simplify right side
    5,765.24x = 19,880,698.29
  5. Step 5: Solve for x
    x = 19,880,698.29/5,765.24
  6. Step 6: Final answer
    x = 3,448.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.