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Finding the Fourth Proportional to 4,927.24, 7,387 and 2,460.84

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Solution

The fourth proportional to 4,927.24, 7,387 and 2,460.84 is: 3,689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.24 : 7,387 = 2,460.84 : x
  2. Step 2: Convert to fraction form
    4,927.24/7,387 = 2,460.84/x
  3. Step 3: Cross multiply
    4,927.24x = 7,387 × 2,460.84
  4. Step 4: Simplify right side
    4,927.24x = 18,178,225.08
  5. Step 5: Solve for x
    x = 18,178,225.08/4,927.24
  6. Step 6: Final answer
    x = 3,689.33

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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.