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Finding the Fourth Proportional to 4,314.96, 6,474.96 and 4,041.60

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Solution

The fourth proportional to 4,314.96, 6,474.96 and 4,041.60 is: 6,064.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.96 : 6,474.96 = 4,041.60 : x
  2. Step 2: Convert to fraction form
    4,314.96/6,474.96 = 4,041.60/x
  3. Step 3: Cross multiply
    4,314.96x = 6,474.96 × 4,041.60
  4. Step 4: Simplify right side
    4,314.96x = 26,169,198.34
  5. Step 5: Solve for x
    x = 26,169,198.34/4,314.96
  6. Step 6: Final answer
    x = 6,064.76

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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.