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Finding the Fourth Proportional to 4,216.99, 5,805.16 and 3,624.07

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Solution

The fourth proportional to 4,216.99, 5,805.16 and 3,624.07 is: 4,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.99 : 5,805.16 = 3,624.07 : x
  2. Step 2: Convert to fraction form
    4,216.99/5,805.16 = 3,624.07/x
  3. Step 3: Cross multiply
    4,216.99x = 5,805.16 × 3,624.07
  4. Step 4: Simplify right side
    4,216.99x = 21,038,306.20
  5. Step 5: Solve for x
    x = 21,038,306.20/4,216.99
  6. Step 6: Final answer
    x = 4,988.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.