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Finding the Fourth Proportional to 3,416.08, 4,715.08 and 2,157.84

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Solution

The fourth proportional to 3,416.08, 4,715.08 and 2,157.84 is: 2,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.08 : 4,715.08 = 2,157.84 : x
  2. Step 2: Convert to fraction form
    3,416.08/4,715.08 = 2,157.84/x
  3. Step 3: Cross multiply
    3,416.08x = 4,715.08 × 2,157.84
  4. Step 4: Simplify right side
    3,416.08x = 10,174,388.23
  5. Step 5: Solve for x
    x = 10,174,388.23/3,416.08
  6. Step 6: Final answer
    x = 2,978.38

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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.