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Finding the Fourth Proportional to 3,237.76, 4,852.08 and 1,849.02

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Solution

The fourth proportional to 3,237.76, 4,852.08 and 1,849.02 is: 2,770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.76 : 4,852.08 = 1,849.02 : x
  2. Step 2: Convert to fraction form
    3,237.76/4,852.08 = 1,849.02/x
  3. Step 3: Cross multiply
    3,237.76x = 4,852.08 × 1,849.02
  4. Step 4: Simplify right side
    3,237.76x = 8,971,592.96
  5. Step 5: Solve for x
    x = 8,971,592.96/3,237.76
  6. Step 6: Final answer
    x = 2,770.93

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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.