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Finding the Fourth Proportional to 5,225.94, 7,838.04 and 1,715.94

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Solution

The fourth proportional to 5,225.94, 7,838.04 and 1,715.94 is: 2,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.94 : 7,838.04 = 1,715.94 : x
  2. Step 2: Convert to fraction form
    5,225.94/7,838.04 = 1,715.94/x
  3. Step 3: Cross multiply
    5,225.94x = 7,838.04 × 1,715.94
  4. Step 4: Simplify right side
    5,225.94x = 13,449,606.36
  5. Step 5: Solve for x
    x = 13,449,606.36/5,225.94
  6. Step 6: Final answer
    x = 2,573.62

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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.