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Finding the Fourth Proportional to 3,416.78, 5,124.26 and 1,468.53

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Solution

The fourth proportional to 3,416.78, 5,124.26 and 1,468.53 is: 2,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.78 : 5,124.26 = 1,468.53 : x
  2. Step 2: Convert to fraction form
    3,416.78/5,124.26 = 1,468.53/x
  3. Step 3: Cross multiply
    3,416.78x = 5,124.26 × 1,468.53
  4. Step 4: Simplify right side
    3,416.78x = 7,525,133.21
  5. Step 5: Solve for x
    x = 7,525,133.21/3,416.78
  6. Step 6: Final answer
    x = 2,202.40

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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.