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Finding the Fourth Proportional to 5,975.61, 8,242.92 and 4,961.58

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Solution

The fourth proportional to 5,975.61, 8,242.92 and 4,961.58 is: 6,844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.61 : 8,242.92 = 4,961.58 : x
  2. Step 2: Convert to fraction form
    5,975.61/8,242.92 = 4,961.58/x
  3. Step 3: Cross multiply
    5,975.61x = 8,242.92 × 4,961.58
  4. Step 4: Simplify right side
    5,975.61x = 40,897,907.01
  5. Step 5: Solve for x
    x = 40,897,907.01/5,975.61
  6. Step 6: Final answer
    x = 6,844.14

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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.