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Finding the Fourth Proportional to 4,156.47, 5,735.79 and 2,388.02

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Solution

The fourth proportional to 4,156.47, 5,735.79 and 2,388.02 is: 3,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.47 : 5,735.79 = 2,388.02 : x
  2. Step 2: Convert to fraction form
    4,156.47/5,735.79 = 2,388.02/x
  3. Step 3: Cross multiply
    4,156.47x = 5,735.79 × 2,388.02
  4. Step 4: Simplify right side
    4,156.47x = 13,697,152.56
  5. Step 5: Solve for x
    x = 13,697,152.56/4,156.47
  6. Step 6: Final answer
    x = 3,295.38

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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.