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Finding the Fourth Proportional to 4,153.76, 5,731.80 and 3,369.68

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Solution

The fourth proportional to 4,153.76, 5,731.80 and 3,369.68 is: 4,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.76 : 5,731.80 = 3,369.68 : x
  2. Step 2: Convert to fraction form
    4,153.76/5,731.80 = 3,369.68/x
  3. Step 3: Cross multiply
    4,153.76x = 5,731.80 × 3,369.68
  4. Step 4: Simplify right side
    4,153.76x = 19,314,331.82
  5. Step 5: Solve for x
    x = 19,314,331.82/4,153.76
  6. Step 6: Final answer
    x = 4,649.84

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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.