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Finding the Fourth Proportional to 4,902.54, 7,355.05 and 2,128.54

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Solution

The fourth proportional to 4,902.54, 7,355.05 and 2,128.54 is: 3,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.54 : 7,355.05 = 2,128.54 : x
  2. Step 2: Convert to fraction form
    4,902.54/7,355.05 = 2,128.54/x
  3. Step 3: Cross multiply
    4,902.54x = 7,355.05 × 2,128.54
  4. Step 4: Simplify right side
    4,902.54x = 15,655,518.13
  5. Step 5: Solve for x
    x = 15,655,518.13/4,902.54
  6. Step 6: Final answer
    x = 3,193.35

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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.