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Finding the Fourth Proportional to 5,130.48, 7,696.08 and 3,840.24

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Solution

The fourth proportional to 5,130.48, 7,696.08 and 3,840.24 is: 5,760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.48 : 7,696.08 = 3,840.24 : x
  2. Step 2: Convert to fraction form
    5,130.48/7,696.08 = 3,840.24/x
  3. Step 3: Cross multiply
    5,130.48x = 7,696.08 × 3,840.24
  4. Step 4: Simplify right side
    5,130.48x = 29,554,794.26
  5. Step 5: Solve for x
    x = 29,554,794.26/5,130.48
  6. Step 6: Final answer
    x = 5,760.63

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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.