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Finding the Fourth Proportional to 4,839.76, 7,255.50 and 2,066.02

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Solution

The fourth proportional to 4,839.76, 7,255.50 and 2,066.02 is: 3,097.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.76 : 7,255.50 = 2,066.02 : x
  2. Step 2: Convert to fraction form
    4,839.76/7,255.50 = 2,066.02/x
  3. Step 3: Cross multiply
    4,839.76x = 7,255.50 × 2,066.02
  4. Step 4: Simplify right side
    4,839.76x = 14,990,008.11
  5. Step 5: Solve for x
    x = 14,990,008.11/4,839.76
  6. Step 6: Final answer
    x = 3,097.26

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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.