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Finding the Fourth Proportional to 3,423.93, 4,725.75 and 2,164.18

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Solution

The fourth proportional to 3,423.93, 4,725.75 and 2,164.18 is: 2,987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.93 : 4,725.75 = 2,164.18 : x
  2. Step 2: Convert to fraction form
    3,423.93/4,725.75 = 2,164.18/x
  3. Step 3: Cross multiply
    3,423.93x = 4,725.75 × 2,164.18
  4. Step 4: Simplify right side
    3,423.93x = 10,227,373.64
  5. Step 5: Solve for x
    x = 10,227,373.64/3,423.93
  6. Step 6: Final answer
    x = 2,987.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.