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Finding the Fourth Proportional to 5,276, 7,913.94 and 4,955.24

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Solution

The fourth proportional to 5,276, 7,913.94 and 4,955.24 is: 7,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276 : 7,913.94 = 4,955.24 : x
  2. Step 2: Convert to fraction form
    5,276/7,913.94 = 4,955.24/x
  3. Step 3: Cross multiply
    5,276x = 7,913.94 × 4,955.24
  4. Step 4: Simplify right side
    5,276x = 39,215,472.05
  5. Step 5: Solve for x
    x = 39,215,472.05/5,276
  6. Step 6: Final answer
    x = 7,432.80

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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.