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Finding the Fourth Proportional to 3,902.76, 5,852.01 and 1,561.53

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Solution

The fourth proportional to 3,902.76, 5,852.01 and 1,561.53 is: 2,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.76 : 5,852.01 = 1,561.53 : x
  2. Step 2: Convert to fraction form
    3,902.76/5,852.01 = 1,561.53/x
  3. Step 3: Cross multiply
    3,902.76x = 5,852.01 × 1,561.53
  4. Step 4: Simplify right side
    3,902.76x = 9,138,089.18
  5. Step 5: Solve for x
    x = 9,138,089.18/3,902.76
  6. Step 6: Final answer
    x = 2,341.44

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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.