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Finding the Fourth Proportional to 3,615.68, 5,415.96 and 2,881.28

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Solution

The fourth proportional to 3,615.68, 5,415.96 and 2,881.28 is: 4,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.68 : 5,415.96 = 2,881.28 : x
  2. Step 2: Convert to fraction form
    3,615.68/5,415.96 = 2,881.28/x
  3. Step 3: Cross multiply
    3,615.68x = 5,415.96 × 2,881.28
  4. Step 4: Simplify right side
    3,615.68x = 15,604,897.23
  5. Step 5: Solve for x
    x = 15,604,897.23/3,615.68
  6. Step 6: Final answer
    x = 4,315.90

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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.