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Finding the Fourth Proportional to 3,612.36, 5,415.50 and 1,762.52

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Solution

The fourth proportional to 3,612.36, 5,415.50 and 1,762.52 is: 2,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.36 : 5,415.50 = 1,762.52 : x
  2. Step 2: Convert to fraction form
    3,612.36/5,415.50 = 1,762.52/x
  3. Step 3: Cross multiply
    3,612.36x = 5,415.50 × 1,762.52
  4. Step 4: Simplify right side
    3,612.36x = 9,544,927.06
  5. Step 5: Solve for x
    x = 9,544,927.06/3,612.36
  6. Step 6: Final answer
    x = 2,642.30

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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.