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Finding the Fourth Proportional to 4,665.53, 6,437.95 and 2,872.72

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Solution

The fourth proportional to 4,665.53, 6,437.95 and 2,872.72 is: 3,964.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.53 : 6,437.95 = 2,872.72 : x
  2. Step 2: Convert to fraction form
    4,665.53/6,437.95 = 2,872.72/x
  3. Step 3: Cross multiply
    4,665.53x = 6,437.95 × 2,872.72
  4. Step 4: Simplify right side
    4,665.53x = 18,494,427.72
  5. Step 5: Solve for x
    x = 18,494,427.72/4,665.53
  6. Step 6: Final answer
    x = 3,964.06

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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.