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Finding the Fourth Proportional to 4,649.18, 6,420.74 and 3,652.88

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Solution

The fourth proportional to 4,649.18, 6,420.74 and 3,652.88 is: 5,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.18 : 6,420.74 = 3,652.88 : x
  2. Step 2: Convert to fraction form
    4,649.18/6,420.74 = 3,652.88/x
  3. Step 3: Cross multiply
    4,649.18x = 6,420.74 × 3,652.88
  4. Step 4: Simplify right side
    4,649.18x = 23,454,142.36
  5. Step 5: Solve for x
    x = 23,454,142.36/4,649.18
  6. Step 6: Final answer
    x = 5,044.80

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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.