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Finding the Fourth Proportional to 4,068.54, 6,102.82 and 1,146.86

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Solution

The fourth proportional to 4,068.54, 6,102.82 and 1,146.86 is: 1,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.54 : 6,102.82 = 1,146.86 : x
  2. Step 2: Convert to fraction form
    4,068.54/6,102.82 = 1,146.86/x
  3. Step 3: Cross multiply
    4,068.54x = 6,102.82 × 1,146.86
  4. Step 4: Simplify right side
    4,068.54x = 6,999,080.15
  5. Step 5: Solve for x
    x = 6,999,080.15/4,068.54
  6. Step 6: Final answer
    x = 1,720.29

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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.