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Finding the Fourth Proportional to 4,615.92, 6,925.10 and 1,694.25

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Solution

The fourth proportional to 4,615.92, 6,925.10 and 1,694.25 is: 2,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.92 : 6,925.10 = 1,694.25 : x
  2. Step 2: Convert to fraction form
    4,615.92/6,925.10 = 1,694.25/x
  3. Step 3: Cross multiply
    4,615.92x = 6,925.10 × 1,694.25
  4. Step 4: Simplify right side
    4,615.92x = 11,732,842.20
  5. Step 5: Solve for x
    x = 11,732,842.20/4,615.92
  6. Step 6: Final answer
    x = 2,541.82

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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.