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Finding the Fourth Proportional to 5,888.24, 8,126.16 and 3,651.61

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Solution

The fourth proportional to 5,888.24, 8,126.16 and 3,651.61 is: 5,039.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.24 : 8,126.16 = 3,651.61 : x
  2. Step 2: Convert to fraction form
    5,888.24/8,126.16 = 3,651.61/x
  3. Step 3: Cross multiply
    5,888.24x = 8,126.16 × 3,651.61
  4. Step 4: Simplify right side
    5,888.24x = 29,673,529.34
  5. Step 5: Solve for x
    x = 29,673,529.34/5,888.24
  6. Step 6: Final answer
    x = 5,039.46

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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.