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Finding the Fourth Proportional to 3,377.42, 5,063.93 and 1,402.50

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Solution

The fourth proportional to 3,377.42, 5,063.93 and 1,402.50 is: 2,102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.42 : 5,063.93 = 1,402.50 : x
  2. Step 2: Convert to fraction form
    3,377.42/5,063.93 = 1,402.50/x
  3. Step 3: Cross multiply
    3,377.42x = 5,063.93 × 1,402.50
  4. Step 4: Simplify right side
    3,377.42x = 7,102,161.83
  5. Step 5: Solve for x
    x = 7,102,161.83/3,377.42
  6. Step 6: Final answer
    x = 2,102.84

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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.