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Finding the Fourth Proportional to 4,538.14, 6,776.14 and 4,066.57

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Solution

The fourth proportional to 4,538.14, 6,776.14 and 4,066.57 is: 6,072.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.14 : 6,776.14 = 4,066.57 : x
  2. Step 2: Convert to fraction form
    4,538.14/6,776.14 = 4,066.57/x
  3. Step 3: Cross multiply
    4,538.14x = 6,776.14 × 4,066.57
  4. Step 4: Simplify right side
    4,538.14x = 27,555,647.64
  5. Step 5: Solve for x
    x = 27,555,647.64/4,538.14
  6. Step 6: Final answer
    x = 6,072.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.