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Finding the Fourth Proportional to 3,987.84, 5,503.70 and 2,415.96

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Solution

The fourth proportional to 3,987.84, 5,503.70 and 2,415.96 is: 3,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.84 : 5,503.70 = 2,415.96 : x
  2. Step 2: Convert to fraction form
    3,987.84/5,503.70 = 2,415.96/x
  3. Step 3: Cross multiply
    3,987.84x = 5,503.70 × 2,415.96
  4. Step 4: Simplify right side
    3,987.84x = 13,296,719.05
  5. Step 5: Solve for x
    x = 13,296,719.05/3,987.84
  6. Step 6: Final answer
    x = 3,334.32

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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.