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Finding the Fourth Proportional to 5,762.25, 8,648.24 and 2,299.50

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Solution

The fourth proportional to 5,762.25, 8,648.24 and 2,299.50 is: 3,451.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.25 : 8,648.24 = 2,299.50 : x
  2. Step 2: Convert to fraction form
    5,762.25/8,648.24 = 2,299.50/x
  3. Step 3: Cross multiply
    5,762.25x = 8,648.24 × 2,299.50
  4. Step 4: Simplify right side
    5,762.25x = 19,886,616.38
  5. Step 5: Solve for x
    x = 19,886,616.38/5,762.25
  6. Step 6: Final answer
    x = 3,451.19

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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.