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Finding the Fourth Proportional to 3,557.76, 5,336.64 and 1,914.72

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Solution

The fourth proportional to 3,557.76, 5,336.64 and 1,914.72 is: 2,872.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.76 : 5,336.64 = 1,914.72 : x
  2. Step 2: Convert to fraction form
    3,557.76/5,336.64 = 1,914.72/x
  3. Step 3: Cross multiply
    3,557.76x = 5,336.64 × 1,914.72
  4. Step 4: Simplify right side
    3,557.76x = 10,218,171.34
  5. Step 5: Solve for x
    x = 10,218,171.34/3,557.76
  6. Step 6: Final answer
    x = 2,872.08

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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.