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Finding the Fourth Proportional to 5,491.94, 7,586.25 and 5,232.74

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Solution

The fourth proportional to 5,491.94, 7,586.25 and 5,232.74 is: 7,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.94 : 7,586.25 = 5,232.74 : x
  2. Step 2: Convert to fraction form
    5,491.94/7,586.25 = 5,232.74/x
  3. Step 3: Cross multiply
    5,491.94x = 7,586.25 × 5,232.74
  4. Step 4: Simplify right side
    5,491.94x = 39,696,873.83
  5. Step 5: Solve for x
    x = 39,696,873.83/5,491.94
  6. Step 6: Final answer
    x = 7,228.21

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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.