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Finding the Fourth Proportional to 5,252.69, 7,880.30 and 1,504.53

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Solution

The fourth proportional to 5,252.69, 7,880.30 and 1,504.53 is: 2,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.69 : 7,880.30 = 1,504.53 : x
  2. Step 2: Convert to fraction form
    5,252.69/7,880.30 = 1,504.53/x
  3. Step 3: Cross multiply
    5,252.69x = 7,880.30 × 1,504.53
  4. Step 4: Simplify right side
    5,252.69x = 11,856,147.76
  5. Step 5: Solve for x
    x = 11,856,147.76/5,252.69
  6. Step 6: Final answer
    x = 2,257.16

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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.