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Finding the Fourth Proportional to 3,049.67, 4,580.58 and 2,877.74

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Solution

The fourth proportional to 3,049.67, 4,580.58 and 2,877.74 is: 4,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.67 : 4,580.58 = 2,877.74 : x
  2. Step 2: Convert to fraction form
    3,049.67/4,580.58 = 2,877.74/x
  3. Step 3: Cross multiply
    3,049.67x = 4,580.58 × 2,877.74
  4. Step 4: Simplify right side
    3,049.67x = 13,181,695.39
  5. Step 5: Solve for x
    x = 13,181,695.39/3,049.67
  6. Step 6: Final answer
    x = 4,322.34

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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.