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Finding the Fourth Proportional to 3,897.65, 5,380.53 and 2,483.28

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Solution

The fourth proportional to 3,897.65, 5,380.53 and 2,483.28 is: 3,428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.65 : 5,380.53 = 2,483.28 : x
  2. Step 2: Convert to fraction form
    3,897.65/5,380.53 = 2,483.28/x
  3. Step 3: Cross multiply
    3,897.65x = 5,380.53 × 2,483.28
  4. Step 4: Simplify right side
    3,897.65x = 13,361,323.22
  5. Step 5: Solve for x
    x = 13,361,323.22/3,897.65
  6. Step 6: Final answer
    x = 3,428.05

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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.