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Finding the Fourth Proportional to 3,750.02, 5,624.01 and 1,409.85

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Solution

The fourth proportional to 3,750.02, 5,624.01 and 1,409.85 is: 2,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.02 : 5,624.01 = 1,409.85 : x
  2. Step 2: Convert to fraction form
    3,750.02/5,624.01 = 1,409.85/x
  3. Step 3: Cross multiply
    3,750.02x = 5,624.01 × 1,409.85
  4. Step 4: Simplify right side
    3,750.02x = 7,929,010.50
  5. Step 5: Solve for x
    x = 7,929,010.50/3,750.02
  6. Step 6: Final answer
    x = 2,114.39

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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.