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Finding the Fourth Proportional to 3,685.48, 5,530.14 and 1,633

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Solution

The fourth proportional to 3,685.48, 5,530.14 and 1,633 is: 2,450.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.48 : 5,530.14 = 1,633 : x
  2. Step 2: Convert to fraction form
    3,685.48/5,530.14 = 1,633/x
  3. Step 3: Cross multiply
    3,685.48x = 5,530.14 × 1,633
  4. Step 4: Simplify right side
    3,685.48x = 9,030,718.62
  5. Step 5: Solve for x
    x = 9,030,718.62/3,685.48
  6. Step 6: Final answer
    x = 2,450.35

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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.