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Finding the Fourth Proportional to 5,164.74, 7,128.94 and 4,900.25

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Solution

The fourth proportional to 5,164.74, 7,128.94 and 4,900.25 is: 6,763.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.74 : 7,128.94 = 4,900.25 : x
  2. Step 2: Convert to fraction form
    5,164.74/7,128.94 = 4,900.25/x
  3. Step 3: Cross multiply
    5,164.74x = 7,128.94 × 4,900.25
  4. Step 4: Simplify right side
    5,164.74x = 34,933,549.11
  5. Step 5: Solve for x
    x = 34,933,549.11/5,164.74
  6. Step 6: Final answer
    x = 6,763.86

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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.