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Finding the Fourth Proportional to 4,330.72, 5,974.32 and 3,089.44

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Solution

The fourth proportional to 4,330.72, 5,974.32 and 3,089.44 is: 4,261.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.72 : 5,974.32 = 3,089.44 : x
  2. Step 2: Convert to fraction form
    4,330.72/5,974.32 = 3,089.44/x
  3. Step 3: Cross multiply
    4,330.72x = 5,974.32 × 3,089.44
  4. Step 4: Simplify right side
    4,330.72x = 18,457,303.18
  5. Step 5: Solve for x
    x = 18,457,303.18/4,330.72
  6. Step 6: Final answer
    x = 4,261.95

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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.