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Finding the Fourth Proportional to 3,661.59, 5,492.25 and 2,428.65

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Solution

The fourth proportional to 3,661.59, 5,492.25 and 2,428.65 is: 3,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.59 : 5,492.25 = 2,428.65 : x
  2. Step 2: Convert to fraction form
    3,661.59/5,492.25 = 2,428.65/x
  3. Step 3: Cross multiply
    3,661.59x = 5,492.25 × 2,428.65
  4. Step 4: Simplify right side
    3,661.59x = 13,338,752.96
  5. Step 5: Solve for x
    x = 13,338,752.96/3,661.59
  6. Step 6: Final answer
    x = 3,642.89

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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.