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Finding the Fourth Proportional to 3,645.88, 5,032.51 and 2,303.71

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Solution

The fourth proportional to 3,645.88, 5,032.51 and 2,303.71 is: 3,179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.88 : 5,032.51 = 2,303.71 : x
  2. Step 2: Convert to fraction form
    3,645.88/5,032.51 = 2,303.71/x
  3. Step 3: Cross multiply
    3,645.88x = 5,032.51 × 2,303.71
  4. Step 4: Simplify right side
    3,645.88x = 11,593,425.27
  5. Step 5: Solve for x
    x = 11,593,425.27/3,645.88
  6. Step 6: Final answer
    x = 3,179.87

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