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Finding the Fourth Proportional to 3,666.40, 5,499.60 and 3,605.65

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Solution

The fourth proportional to 3,666.40, 5,499.60 and 3,605.65 is: 5,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.40 : 5,499.60 = 3,605.65 : x
  2. Step 2: Convert to fraction form
    3,666.40/5,499.60 = 3,605.65/x
  3. Step 3: Cross multiply
    3,666.40x = 5,499.60 × 3,605.65
  4. Step 4: Simplify right side
    3,666.40x = 19,829,632.74
  5. Step 5: Solve for x
    x = 19,829,632.74/3,666.40
  6. Step 6: Final answer
    x = 5,408.48

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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.