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Finding the Fourth Proportional to 3,564.75, 5,349.35 and 1,716.06

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Solution

The fourth proportional to 3,564.75, 5,349.35 and 1,716.06 is: 2,575.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.75 : 5,349.35 = 1,716.06 : x
  2. Step 2: Convert to fraction form
    3,564.75/5,349.35 = 1,716.06/x
  3. Step 3: Cross multiply
    3,564.75x = 5,349.35 × 1,716.06
  4. Step 4: Simplify right side
    3,564.75x = 9,179,809.85
  5. Step 5: Solve for x
    x = 9,179,809.85/3,564.75
  6. Step 6: Final answer
    x = 2,575.16

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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.