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Finding the Fourth Proportional to 3,901.73, 5,852.58 and 1,435.47

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Solution

The fourth proportional to 3,901.73, 5,852.58 and 1,435.47 is: 2,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.73 : 5,852.58 = 1,435.47 : x
  2. Step 2: Convert to fraction form
    3,901.73/5,852.58 = 1,435.47/x
  3. Step 3: Cross multiply
    3,901.73x = 5,852.58 × 1,435.47
  4. Step 4: Simplify right side
    3,901.73x = 8,401,203.01
  5. Step 5: Solve for x
    x = 8,401,203.01/3,901.73
  6. Step 6: Final answer
    x = 2,153.20

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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.