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Finding the Fourth Proportional to 5,145.48, 7,718.04 and 3,580.98

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Solution

The fourth proportional to 5,145.48, 7,718.04 and 3,580.98 is: 5,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.48 : 7,718.04 = 3,580.98 : x
  2. Step 2: Convert to fraction form
    5,145.48/7,718.04 = 3,580.98/x
  3. Step 3: Cross multiply
    5,145.48x = 7,718.04 × 3,580.98
  4. Step 4: Simplify right side
    5,145.48x = 27,638,146.88
  5. Step 5: Solve for x
    x = 27,638,146.88/5,145.48
  6. Step 6: Final answer
    x = 5,371.34

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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.