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Finding the Fourth Proportional to 4,037.65, 6,056.48 and 1,264.54

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Solution

The fourth proportional to 4,037.65, 6,056.48 and 1,264.54 is: 1,896.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,037.65 : 6,056.48 = 1,264.54 : x
  2. Step 2: Convert to fraction form
    4,037.65/6,056.48 = 1,264.54/x
  3. Step 3: Cross multiply
    4,037.65x = 6,056.48 × 1,264.54
  4. Step 4: Simplify right side
    4,037.65x = 7,658,679.66
  5. Step 5: Solve for x
    x = 7,658,679.66/4,037.65
  6. Step 6: Final answer
    x = 1,896.81

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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.