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Finding the Fourth Proportional to 3,645.49, 5,468.60 and 1,048.81

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Solution

The fourth proportional to 3,645.49, 5,468.60 and 1,048.81 is: 1,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.49 : 5,468.60 = 1,048.81 : x
  2. Step 2: Convert to fraction form
    3,645.49/5,468.60 = 1,048.81/x
  3. Step 3: Cross multiply
    3,645.49x = 5,468.60 × 1,048.81
  4. Step 4: Simplify right side
    3,645.49x = 5,735,522.37
  5. Step 5: Solve for x
    x = 5,735,522.37/3,645.49
  6. Step 6: Final answer
    x = 1,573.32

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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.