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Finding the Fourth Proportional to 3,547.68, 5,320.44 and 1,697.82

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Solution

The fourth proportional to 3,547.68, 5,320.44 and 1,697.82 is: 2,546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.68 : 5,320.44 = 1,697.82 : x
  2. Step 2: Convert to fraction form
    3,547.68/5,320.44 = 1,697.82/x
  3. Step 3: Cross multiply
    3,547.68x = 5,320.44 × 1,697.82
  4. Step 4: Simplify right side
    3,547.68x = 9,033,149.44
  5. Step 5: Solve for x
    x = 9,033,149.44/3,547.68
  6. Step 6: Final answer
    x = 2,546.21

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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.