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Finding the Fourth Proportional to 5,312.72, 7,965.84 and 2,387

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Solution

The fourth proportional to 5,312.72, 7,965.84 and 2,387 is: 3,579.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.72 : 7,965.84 = 2,387 : x
  2. Step 2: Convert to fraction form
    5,312.72/7,965.84 = 2,387/x
  3. Step 3: Cross multiply
    5,312.72x = 7,965.84 × 2,387
  4. Step 4: Simplify right side
    5,312.72x = 19,014,460.08
  5. Step 5: Solve for x
    x = 19,014,460.08/5,312.72
  6. Step 6: Final answer
    x = 3,579.04

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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.