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Finding the Fourth Proportional to 4,576.94, 6,314.39 and 2,985.46

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Solution

The fourth proportional to 4,576.94, 6,314.39 and 2,985.46 is: 4,118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.94 : 6,314.39 = 2,985.46 : x
  2. Step 2: Convert to fraction form
    4,576.94/6,314.39 = 2,985.46/x
  3. Step 3: Cross multiply
    4,576.94x = 6,314.39 × 2,985.46
  4. Step 4: Simplify right side
    4,576.94x = 18,851,339.25
  5. Step 5: Solve for x
    x = 18,851,339.25/4,576.94
  6. Step 6: Final answer
    x = 4,118.77

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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.