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Finding the Fourth Proportional to 5,962.48, 8,930.76 and 2,878

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Solution

The fourth proportional to 5,962.48, 8,930.76 and 2,878 is: 4,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.48 : 8,930.76 = 2,878 : x
  2. Step 2: Convert to fraction form
    5,962.48/8,930.76 = 2,878/x
  3. Step 3: Cross multiply
    5,962.48x = 8,930.76 × 2,878
  4. Step 4: Simplify right side
    5,962.48x = 25,702,727.28
  5. Step 5: Solve for x
    x = 25,702,727.28/5,962.48
  6. Step 6: Final answer
    x = 4,310.74

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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.