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Finding the Fourth Proportional to 3,493.95, 4,821.36 and 2,002.01

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Solution

The fourth proportional to 3,493.95, 4,821.36 and 2,002.01 is: 2,762.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.95 : 4,821.36 = 2,002.01 : x
  2. Step 2: Convert to fraction form
    3,493.95/4,821.36 = 2,002.01/x
  3. Step 3: Cross multiply
    3,493.95x = 4,821.36 × 2,002.01
  4. Step 4: Simplify right side
    3,493.95x = 9,652,386.83
  5. Step 5: Solve for x
    x = 9,652,386.83/3,493.95
  6. Step 6: Final answer
    x = 2,762.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.