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Finding the Fourth Proportional to 5,128.45, 7,693.88 and 1,665.70

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Solution

The fourth proportional to 5,128.45, 7,693.88 and 1,665.70 is: 2,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.45 : 7,693.88 = 1,665.70 : x
  2. Step 2: Convert to fraction form
    5,128.45/7,693.88 = 1,665.70/x
  3. Step 3: Cross multiply
    5,128.45x = 7,693.88 × 1,665.70
  4. Step 4: Simplify right side
    5,128.45x = 12,815,649.12
  5. Step 5: Solve for x
    x = 12,815,649.12/5,128.45
  6. Step 6: Final answer
    x = 2,498.93

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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.