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Finding the Fourth Proportional to 4,333.74, 5,978.67 and 2,541.42

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Solution

The fourth proportional to 4,333.74, 5,978.67 and 2,541.42 is: 3,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.74 : 5,978.67 = 2,541.42 : x
  2. Step 2: Convert to fraction form
    4,333.74/5,978.67 = 2,541.42/x
  3. Step 3: Cross multiply
    4,333.74x = 5,978.67 × 2,541.42
  4. Step 4: Simplify right side
    4,333.74x = 15,194,311.51
  5. Step 5: Solve for x
    x = 15,194,311.51/4,333.74
  6. Step 6: Final answer
    x = 3,506.05

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Why These Related Problems?

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