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Finding the Fourth Proportional to 4,941.54, 7,407.45 and 4,202.82

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Solution

The fourth proportional to 4,941.54, 7,407.45 and 4,202.82 is: 6,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.54 : 7,407.45 = 4,202.82 : x
  2. Step 2: Convert to fraction form
    4,941.54/7,407.45 = 4,202.82/x
  3. Step 3: Cross multiply
    4,941.54x = 7,407.45 × 4,202.82
  4. Step 4: Simplify right side
    4,941.54x = 31,132,179.01
  5. Step 5: Solve for x
    x = 31,132,179.01/4,941.54
  6. Step 6: Final answer
    x = 6,300.10

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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.