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Finding the Fourth Proportional to 3,762.51, 5,643.77 and 2,034.51

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Solution

The fourth proportional to 3,762.51, 5,643.77 and 2,034.51 is: 3,051.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.51 : 5,643.77 = 2,034.51 : x
  2. Step 2: Convert to fraction form
    3,762.51/5,643.77 = 2,034.51/x
  3. Step 3: Cross multiply
    3,762.51x = 5,643.77 × 2,034.51
  4. Step 4: Simplify right side
    3,762.51x = 11,482,296.33
  5. Step 5: Solve for x
    x = 11,482,296.33/3,762.51
  6. Step 6: Final answer
    x = 3,051.77

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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.