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Finding the Fourth Proportional to 4,038.72, 6,056.64 and 1,264.56

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Solution

The fourth proportional to 4,038.72, 6,056.64 and 1,264.56 is: 1,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.72 : 6,056.64 = 1,264.56 : x
  2. Step 2: Convert to fraction form
    4,038.72/6,056.64 = 1,264.56/x
  3. Step 3: Cross multiply
    4,038.72x = 6,056.64 × 1,264.56
  4. Step 4: Simplify right side
    4,038.72x = 7,658,984.68
  5. Step 5: Solve for x
    x = 7,658,984.68/4,038.72
  6. Step 6: Final answer
    x = 1,896.39

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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.