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Finding the Fourth Proportional to 4,564.68, 6,302.34 and 2,995.44

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Solution

The fourth proportional to 4,564.68, 6,302.34 and 2,995.44 is: 4,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.68 : 6,302.34 = 2,995.44 : x
  2. Step 2: Convert to fraction form
    4,564.68/6,302.34 = 2,995.44/x
  3. Step 3: Cross multiply
    4,564.68x = 6,302.34 × 2,995.44
  4. Step 4: Simplify right side
    4,564.68x = 18,878,281.33
  5. Step 5: Solve for x
    x = 18,878,281.33/4,564.68
  6. Step 6: Final answer
    x = 4,135.73

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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.