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Finding the Fourth Proportional to 5,497.56, 7,580.85 and 4,156.26

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Solution

The fourth proportional to 5,497.56, 7,580.85 and 4,156.26 is: 5,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.56 : 7,580.85 = 4,156.26 : x
  2. Step 2: Convert to fraction form
    5,497.56/7,580.85 = 4,156.26/x
  3. Step 3: Cross multiply
    5,497.56x = 7,580.85 × 4,156.26
  4. Step 4: Simplify right side
    5,497.56x = 31,507,983.62
  5. Step 5: Solve for x
    x = 31,507,983.62/5,497.56
  6. Step 6: Final answer
    x = 5,731.27

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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.