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Finding the Fourth Proportional to 4,168.48, 6,254.48 and 1,827.28

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Solution

The fourth proportional to 4,168.48, 6,254.48 and 1,827.28 is: 2,741.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.48 : 6,254.48 = 1,827.28 : x
  2. Step 2: Convert to fraction form
    4,168.48/6,254.48 = 1,827.28/x
  3. Step 3: Cross multiply
    4,168.48x = 6,254.48 × 1,827.28
  4. Step 4: Simplify right side
    4,168.48x = 11,428,686.21
  5. Step 5: Solve for x
    x = 11,428,686.21/4,168.48
  6. Step 6: Final answer
    x = 2,741.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.