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Finding the Fourth Proportional to 3,597.16, 4,956.74 and 2,757.88

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Solution

The fourth proportional to 3,597.16, 4,956.74 and 2,757.88 is: 3,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.16 : 4,956.74 = 2,757.88 : x
  2. Step 2: Convert to fraction form
    3,597.16/4,956.74 = 2,757.88/x
  3. Step 3: Cross multiply
    3,597.16x = 4,956.74 × 2,757.88
  4. Step 4: Simplify right side
    3,597.16x = 13,670,094.11
  5. Step 5: Solve for x
    x = 13,670,094.11/3,597.16
  6. Step 6: Final answer
    x = 3,800.25

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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.