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Finding the Fourth Proportional to 4,766.66, 6,575.77 and 3,088.64

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Solution

The fourth proportional to 4,766.66, 6,575.77 and 3,088.64 is: 4,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.66 : 6,575.77 = 3,088.64 : x
  2. Step 2: Convert to fraction form
    4,766.66/6,575.77 = 3,088.64/x
  3. Step 3: Cross multiply
    4,766.66x = 6,575.77 × 3,088.64
  4. Step 4: Simplify right side
    4,766.66x = 20,310,186.25
  5. Step 5: Solve for x
    x = 20,310,186.25/4,766.66
  6. Step 6: Final answer
    x = 4,260.88

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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.