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Finding the Fourth Proportional to 4,202.06, 5,795.06 and 2,630.30

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Solution

The fourth proportional to 4,202.06, 5,795.06 and 2,630.30 is: 3,627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.06 : 5,795.06 = 2,630.30 : x
  2. Step 2: Convert to fraction form
    4,202.06/5,795.06 = 2,630.30/x
  3. Step 3: Cross multiply
    4,202.06x = 5,795.06 × 2,630.30
  4. Step 4: Simplify right side
    4,202.06x = 15,242,746.32
  5. Step 5: Solve for x
    x = 15,242,746.32/4,202.06
  6. Step 6: Final answer
    x = 3,627.45

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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.