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Finding the Fourth Proportional to 4,068.63, 6,102.54 and 1,294.79

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Solution

The fourth proportional to 4,068.63, 6,102.54 and 1,294.79 is: 1,942.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.63 : 6,102.54 = 1,294.79 : x
  2. Step 2: Convert to fraction form
    4,068.63/6,102.54 = 1,294.79/x
  3. Step 3: Cross multiply
    4,068.63x = 6,102.54 × 1,294.79
  4. Step 4: Simplify right side
    4,068.63x = 7,901,477.25
  5. Step 5: Solve for x
    x = 7,901,477.25/4,068.63
  6. Step 6: Final answer
    x = 1,942.05

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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.