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Finding the Fourth Proportional to 3,412.04, 5,114.37 and 1,653.33

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Solution

The fourth proportional to 3,412.04, 5,114.37 and 1,653.33 is: 2,478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.04 : 5,114.37 = 1,653.33 : x
  2. Step 2: Convert to fraction form
    3,412.04/5,114.37 = 1,653.33/x
  3. Step 3: Cross multiply
    3,412.04x = 5,114.37 × 1,653.33
  4. Step 4: Simplify right side
    3,412.04x = 8,455,741.35
  5. Step 5: Solve for x
    x = 8,455,741.35/3,412.04
  6. Step 6: Final answer
    x = 2,478.21

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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.