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Finding the Fourth Proportional to 3,405.58, 5,103.65 and 1,552.17

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Solution

The fourth proportional to 3,405.58, 5,103.65 and 1,552.17 is: 2,326.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.58 : 5,103.65 = 1,552.17 : x
  2. Step 2: Convert to fraction form
    3,405.58/5,103.65 = 1,552.17/x
  3. Step 3: Cross multiply
    3,405.58x = 5,103.65 × 1,552.17
  4. Step 4: Simplify right side
    3,405.58x = 7,921,699.14
  5. Step 5: Solve for x
    x = 7,921,699.14/3,405.58
  6. Step 6: Final answer
    x = 2,326.09

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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.