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Finding the Fourth Proportional to 3,642.80, 5,459.59 and 2,326.15

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Solution

The fourth proportional to 3,642.80, 5,459.59 and 2,326.15 is: 3,486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.80 : 5,459.59 = 2,326.15 : x
  2. Step 2: Convert to fraction form
    3,642.80/5,459.59 = 2,326.15/x
  3. Step 3: Cross multiply
    3,642.80x = 5,459.59 × 2,326.15
  4. Step 4: Simplify right side
    3,642.80x = 12,699,813.65
  5. Step 5: Solve for x
    x = 12,699,813.65/3,642.80
  6. Step 6: Final answer
    x = 3,486.28

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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.