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Finding the Fourth Proportional to 5,878, 8,052.95 and 5,656.60

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Solution

The fourth proportional to 5,878, 8,052.95 and 5,656.60 is: 7,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878 : 8,052.95 = 5,656.60 : x
  2. Step 2: Convert to fraction form
    5,878/8,052.95 = 5,656.60/x
  3. Step 3: Cross multiply
    5,878x = 8,052.95 × 5,656.60
  4. Step 4: Simplify right side
    5,878x = 45,552,316.97
  5. Step 5: Solve for x
    x = 45,552,316.97/5,878
  6. Step 6: Final answer
    x = 7,749.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.