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Finding the Fourth Proportional to 4,157.76, 6,230.70 and 3,053.46

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Solution

The fourth proportional to 4,157.76, 6,230.70 and 3,053.46 is: 4,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.76 : 6,230.70 = 3,053.46 : x
  2. Step 2: Convert to fraction form
    4,157.76/6,230.70 = 3,053.46/x
  3. Step 3: Cross multiply
    4,157.76x = 6,230.70 × 3,053.46
  4. Step 4: Simplify right side
    4,157.76x = 19,025,193.22
  5. Step 5: Solve for x
    x = 19,025,193.22/4,157.76
  6. Step 6: Final answer
    x = 4,575.83

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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.