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Finding the Fourth Proportional to 5,201.70, 7,802.55 and 3,128.10

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Solution

The fourth proportional to 5,201.70, 7,802.55 and 3,128.10 is: 4,692.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.70 : 7,802.55 = 3,128.10 : x
  2. Step 2: Convert to fraction form
    5,201.70/7,802.55 = 3,128.10/x
  3. Step 3: Cross multiply
    5,201.70x = 7,802.55 × 3,128.10
  4. Step 4: Simplify right side
    5,201.70x = 24,407,156.66
  5. Step 5: Solve for x
    x = 24,407,156.66/5,201.70
  6. Step 6: Final answer
    x = 4,692.15

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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.