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Finding the Fourth Proportional to 4,347.48, 6,489.75 and 3,822.02

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Solution

The fourth proportional to 4,347.48, 6,489.75 and 3,822.02 is: 5,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.48 : 6,489.75 = 3,822.02 : x
  2. Step 2: Convert to fraction form
    4,347.48/6,489.75 = 3,822.02/x
  3. Step 3: Cross multiply
    4,347.48x = 6,489.75 × 3,822.02
  4. Step 4: Simplify right side
    4,347.48x = 24,803,954.30
  5. Step 5: Solve for x
    x = 24,803,954.30/4,347.48
  6. Step 6: Final answer
    x = 5,705.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.