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Finding the Fourth Proportional to 3,605.36, 5,411.08 and 1,415.63

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Solution

The fourth proportional to 3,605.36, 5,411.08 and 1,415.63 is: 2,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.36 : 5,411.08 = 1,415.63 : x
  2. Step 2: Convert to fraction form
    3,605.36/5,411.08 = 1,415.63/x
  3. Step 3: Cross multiply
    3,605.36x = 5,411.08 × 1,415.63
  4. Step 4: Simplify right side
    3,605.36x = 7,660,087.18
  5. Step 5: Solve for x
    x = 7,660,087.18/3,605.36
  6. Step 6: Final answer
    x = 2,124.64

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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.