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Finding the Fourth Proportional to 3,762.88, 5,191.74 and 2,346

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Solution

The fourth proportional to 3,762.88, 5,191.74 and 2,346 is: 3,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.88 : 5,191.74 = 2,346 : x
  2. Step 2: Convert to fraction form
    3,762.88/5,191.74 = 2,346/x
  3. Step 3: Cross multiply
    3,762.88x = 5,191.74 × 2,346
  4. Step 4: Simplify right side
    3,762.88x = 12,179,822.04
  5. Step 5: Solve for x
    x = 12,179,822.04/3,762.88
  6. Step 6: Final answer
    x = 3,236.84

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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.