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Finding the Fourth Proportional to 5,588.41, 7,710.93 and 3,797.31

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Solution

The fourth proportional to 5,588.41, 7,710.93 and 3,797.31 is: 5,239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.41 : 7,710.93 = 3,797.31 : x
  2. Step 2: Convert to fraction form
    5,588.41/7,710.93 = 3,797.31/x
  3. Step 3: Cross multiply
    5,588.41x = 7,710.93 × 3,797.31
  4. Step 4: Simplify right side
    5,588.41x = 29,280,820.51
  5. Step 5: Solve for x
    x = 29,280,820.51/5,588.41
  6. Step 6: Final answer
    x = 5,239.56

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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.