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Finding the Fourth Proportional to 5,156.52, 7,735.06 and 1,459.04

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Solution

The fourth proportional to 5,156.52, 7,735.06 and 1,459.04 is: 2,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.52 : 7,735.06 = 1,459.04 : x
  2. Step 2: Convert to fraction form
    5,156.52/7,735.06 = 1,459.04/x
  3. Step 3: Cross multiply
    5,156.52x = 7,735.06 × 1,459.04
  4. Step 4: Simplify right side
    5,156.52x = 11,285,761.94
  5. Step 5: Solve for x
    x = 11,285,761.94/5,156.52
  6. Step 6: Final answer
    x = 2,188.64

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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.