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Finding the Fourth Proportional to 4,649.02, 6,406.99 and 3,157.00

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Solution

The fourth proportional to 4,649.02, 6,406.99 and 3,157.00 is: 4,350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.02 : 6,406.99 = 3,157.00 : x
  2. Step 2: Convert to fraction form
    4,649.02/6,406.99 = 3,157.00/x
  3. Step 3: Cross multiply
    4,649.02x = 6,406.99 × 3,157.00
  4. Step 4: Simplify right side
    4,649.02x = 20,226,873.29
  5. Step 5: Solve for x
    x = 20,226,873.29/4,649.02
  6. Step 6: Final answer
    x = 4,350.78

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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.