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Finding the Fourth Proportional to 4,894.13, 7,341.93 and 1,606.44

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Solution

The fourth proportional to 4,894.13, 7,341.93 and 1,606.44 is: 2,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.13 : 7,341.93 = 1,606.44 : x
  2. Step 2: Convert to fraction form
    4,894.13/7,341.93 = 1,606.44/x
  3. Step 3: Cross multiply
    4,894.13x = 7,341.93 × 1,606.44
  4. Step 4: Simplify right side
    4,894.13x = 11,794,370.03
  5. Step 5: Solve for x
    x = 11,794,370.03/4,894.13
  6. Step 6: Final answer
    x = 2,409.90

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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.