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Finding the Fourth Proportional to 5,760.25, 7,946.47 and 3,370.30

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Solution

The fourth proportional to 5,760.25, 7,946.47 and 3,370.30 is: 4,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.25 : 7,946.47 = 3,370.30 : x
  2. Step 2: Convert to fraction form
    5,760.25/7,946.47 = 3,370.30/x
  3. Step 3: Cross multiply
    5,760.25x = 7,946.47 × 3,370.30
  4. Step 4: Simplify right side
    5,760.25x = 26,781,987.84
  5. Step 5: Solve for x
    x = 26,781,987.84/5,760.25
  6. Step 6: Final answer
    x = 4,649.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.