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Finding the Fourth Proportional to 3,547.89, 5,322.49 and 1,697.75

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Solution

The fourth proportional to 3,547.89, 5,322.49 and 1,697.75 is: 2,546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.89 : 5,322.49 = 1,697.75 : x
  2. Step 2: Convert to fraction form
    3,547.89/5,322.49 = 1,697.75/x
  3. Step 3: Cross multiply
    3,547.89x = 5,322.49 × 1,697.75
  4. Step 4: Simplify right side
    3,547.89x = 9,036,257.40
  5. Step 5: Solve for x
    x = 9,036,257.40/3,547.89
  6. Step 6: Final answer
    x = 2,546.94

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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.