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Finding the Fourth Proportional to 4,777.59, 7,159.07 and 2,002.74

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Solution

The fourth proportional to 4,777.59, 7,159.07 and 2,002.74 is: 3,001.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.59 : 7,159.07 = 2,002.74 : x
  2. Step 2: Convert to fraction form
    4,777.59/7,159.07 = 2,002.74/x
  3. Step 3: Cross multiply
    4,777.59x = 7,159.07 × 2,002.74
  4. Step 4: Simplify right side
    4,777.59x = 14,337,745.84
  5. Step 5: Solve for x
    x = 14,337,745.84/4,777.59
  6. Step 6: Final answer
    x = 3,001.04

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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.