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Finding the Fourth Proportional to 5,081.64, 7,656.32 and 4,588.60

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Solution

The fourth proportional to 5,081.64, 7,656.32 and 4,588.60 is: 6,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,081.64 : 7,656.32 = 4,588.60 : x
  2. Step 2: Convert to fraction form
    5,081.64/7,656.32 = 4,588.60/x
  3. Step 3: Cross multiply
    5,081.64x = 7,656.32 × 4,588.60
  4. Step 4: Simplify right side
    5,081.64x = 35,131,796.64
  5. Step 5: Solve for x
    x = 35,131,796.64/5,081.64
  6. Step 6: Final answer
    x = 6,913.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.