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Finding the Fourth Proportional to 4,959.12, 6,840.54 and 4,114.92

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Solution

The fourth proportional to 4,959.12, 6,840.54 and 4,114.92 is: 5,676.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.12 : 6,840.54 = 4,114.92 : x
  2. Step 2: Convert to fraction form
    4,959.12/6,840.54 = 4,114.92/x
  3. Step 3: Cross multiply
    4,959.12x = 6,840.54 × 4,114.92
  4. Step 4: Simplify right side
    4,959.12x = 28,148,274.86
  5. Step 5: Solve for x
    x = 28,148,274.86/4,959.12
  6. Step 6: Final answer
    x = 5,676.06

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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.