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Finding the Fourth Proportional to 3,553.65, 5,329.86 and 1,605.40

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Solution

The fourth proportional to 3,553.65, 5,329.86 and 1,605.40 is: 2,407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553.65 : 5,329.86 = 1,605.40 : x
  2. Step 2: Convert to fraction form
    3,553.65/5,329.86 = 1,605.40/x
  3. Step 3: Cross multiply
    3,553.65x = 5,329.86 × 1,605.40
  4. Step 4: Simplify right side
    3,553.65x = 8,556,557.24
  5. Step 5: Solve for x
    x = 8,556,557.24/3,553.65
  6. Step 6: Final answer
    x = 2,407.82

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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.