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Finding the Fourth Proportional to 3,763.88, 5,642.58 and 2,030.52

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Solution

The fourth proportional to 3,763.88, 5,642.58 and 2,030.52 is: 3,044.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.88 : 5,642.58 = 2,030.52 : x
  2. Step 2: Convert to fraction form
    3,763.88/5,642.58 = 2,030.52/x
  3. Step 3: Cross multiply
    3,763.88x = 5,642.58 × 2,030.52
  4. Step 4: Simplify right side
    3,763.88x = 11,457,371.54
  5. Step 5: Solve for x
    x = 11,457,371.54/3,763.88
  6. Step 6: Final answer
    x = 3,044.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.