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Finding the Fourth Proportional to 3,647.58, 5,032.50 and 2,156.01

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Solution

The fourth proportional to 3,647.58, 5,032.50 and 2,156.01 is: 2,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.58 : 5,032.50 = 2,156.01 : x
  2. Step 2: Convert to fraction form
    3,647.58/5,032.50 = 2,156.01/x
  3. Step 3: Cross multiply
    3,647.58x = 5,032.50 × 2,156.01
  4. Step 4: Simplify right side
    3,647.58x = 10,850,120.33
  5. Step 5: Solve for x
    x = 10,850,120.33/3,647.58
  6. Step 6: Final answer
    x = 2,974.61

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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.