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Finding the Fourth Proportional to 4,281.66, 6,412.37 and 3,649.86

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Solution

The fourth proportional to 4,281.66, 6,412.37 and 3,649.86 is: 5,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.66 : 6,412.37 = 3,649.86 : x
  2. Step 2: Convert to fraction form
    4,281.66/6,412.37 = 3,649.86/x
  3. Step 3: Cross multiply
    4,281.66x = 6,412.37 × 3,649.86
  4. Step 4: Simplify right side
    4,281.66x = 23,404,234.52
  5. Step 5: Solve for x
    x = 23,404,234.52/4,281.66
  6. Step 6: Final answer
    x = 5,466.16

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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.