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Finding the Fourth Proportional to 3,544.34, 5,320.62 and 1,904.10

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Solution

The fourth proportional to 3,544.34, 5,320.62 and 1,904.10 is: 2,858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.34 : 5,320.62 = 1,904.10 : x
  2. Step 2: Convert to fraction form
    3,544.34/5,320.62 = 1,904.10/x
  3. Step 3: Cross multiply
    3,544.34x = 5,320.62 × 1,904.10
  4. Step 4: Simplify right side
    3,544.34x = 10,130,992.54
  5. Step 5: Solve for x
    x = 10,130,992.54/3,544.34
  6. Step 6: Final answer
    x = 2,858.36

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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.