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Finding the Fourth Proportional to 3,764.63, 5,648.12 and 1,686.41

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Solution

The fourth proportional to 3,764.63, 5,648.12 and 1,686.41 is: 2,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.63 : 5,648.12 = 1,686.41 : x
  2. Step 2: Convert to fraction form
    3,764.63/5,648.12 = 1,686.41/x
  3. Step 3: Cross multiply
    3,764.63x = 5,648.12 × 1,686.41
  4. Step 4: Simplify right side
    3,764.63x = 9,525,009.38
  5. Step 5: Solve for x
    x = 9,525,009.38/3,764.63
  6. Step 6: Final answer
    x = 2,530.13

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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.