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Finding the Fourth Proportional to 4,649.58, 6,420.57 and 3,468.60

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Solution

The fourth proportional to 4,649.58, 6,420.57 and 3,468.60 is: 4,789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.58 : 6,420.57 = 3,468.60 : x
  2. Step 2: Convert to fraction form
    4,649.58/6,420.57 = 3,468.60/x
  3. Step 3: Cross multiply
    4,649.58x = 6,420.57 × 3,468.60
  4. Step 4: Simplify right side
    4,649.58x = 22,270,389.10
  5. Step 5: Solve for x
    x = 22,270,389.10/4,649.58
  6. Step 6: Final answer
    x = 4,789.76

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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.