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Finding the Fourth Proportional to 4,230.54, 5,835.51 and 3,053.34

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Solution

The fourth proportional to 4,230.54, 5,835.51 and 3,053.34 is: 4,211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.54 : 5,835.51 = 3,053.34 : x
  2. Step 2: Convert to fraction form
    4,230.54/5,835.51 = 3,053.34/x
  3. Step 3: Cross multiply
    4,230.54x = 5,835.51 × 3,053.34
  4. Step 4: Simplify right side
    4,230.54x = 17,817,796.10
  5. Step 5: Solve for x
    x = 17,817,796.10/4,230.54
  6. Step 6: Final answer
    x = 4,211.71

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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.