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Finding the Fourth Proportional to 4,142.33, 5,714.51 and 2,649.50

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Solution

The fourth proportional to 4,142.33, 5,714.51 and 2,649.50 is: 3,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.33 : 5,714.51 = 2,649.50 : x
  2. Step 2: Convert to fraction form
    4,142.33/5,714.51 = 2,649.50/x
  3. Step 3: Cross multiply
    4,142.33x = 5,714.51 × 2,649.50
  4. Step 4: Simplify right side
    4,142.33x = 15,140,581.00
  5. Step 5: Solve for x
    x = 15,140,581.00/4,142.33
  6. Step 6: Final answer
    x = 3,655.09

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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.