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Finding the Fourth Proportional to 3,658.58, 5,038.71 and 3,161.06

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Solution

The fourth proportional to 3,658.58, 5,038.71 and 3,161.06 is: 4,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.58 : 5,038.71 = 3,161.06 : x
  2. Step 2: Convert to fraction form
    3,658.58/5,038.71 = 3,161.06/x
  3. Step 3: Cross multiply
    3,658.58x = 5,038.71 × 3,161.06
  4. Step 4: Simplify right side
    3,658.58x = 15,927,664.63
  5. Step 5: Solve for x
    x = 15,927,664.63/3,658.58
  6. Step 6: Final answer
    x = 4,353.51

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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.