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Finding the Fourth Proportional to 4,941.51, 7,412.27 and 3,412.23

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Solution

The fourth proportional to 4,941.51, 7,412.27 and 3,412.23 is: 5,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.51 : 7,412.27 = 3,412.23 : x
  2. Step 2: Convert to fraction form
    4,941.51/7,412.27 = 3,412.23/x
  3. Step 3: Cross multiply
    4,941.51x = 7,412.27 × 3,412.23
  4. Step 4: Simplify right side
    4,941.51x = 25,292,353.00
  5. Step 5: Solve for x
    x = 25,292,353.00/4,941.51
  6. Step 6: Final answer
    x = 5,118.35

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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.