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Finding the Fourth Proportional to 4,777.83, 7,159.44 and 2,003.00

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Solution

The fourth proportional to 4,777.83, 7,159.44 and 2,003.00 is: 3,001.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.83 : 7,159.44 = 2,003.00 : x
  2. Step 2: Convert to fraction form
    4,777.83/7,159.44 = 2,003.00/x
  3. Step 3: Cross multiply
    4,777.83x = 7,159.44 × 2,003.00
  4. Step 4: Simplify right side
    4,777.83x = 14,340,322.52
  5. Step 5: Solve for x
    x = 14,340,322.52/4,777.83
  6. Step 6: Final answer
    x = 3,001.43

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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.