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Finding the Fourth Proportional to 4,906.48, 7,358.64 and 1,786

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Solution

The fourth proportional to 4,906.48, 7,358.64 and 1,786 is: 2,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.48 : 7,358.64 = 1,786 : x
  2. Step 2: Convert to fraction form
    4,906.48/7,358.64 = 1,786/x
  3. Step 3: Cross multiply
    4,906.48x = 7,358.64 × 1,786
  4. Step 4: Simplify right side
    4,906.48x = 13,142,531.04
  5. Step 5: Solve for x
    x = 13,142,531.04/4,906.48
  6. Step 6: Final answer
    x = 2,678.61

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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.