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Finding the Fourth Proportional to 4,538.13, 6,807.62 and 1,765.01

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Solution

The fourth proportional to 4,538.13, 6,807.62 and 1,765.01 is: 2,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.13 : 6,807.62 = 1,765.01 : x
  2. Step 2: Convert to fraction form
    4,538.13/6,807.62 = 1,765.01/x
  3. Step 3: Cross multiply
    4,538.13x = 6,807.62 × 1,765.01
  4. Step 4: Simplify right side
    4,538.13x = 12,015,517.38
  5. Step 5: Solve for x
    x = 12,015,517.38/4,538.13
  6. Step 6: Final answer
    x = 2,647.68

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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.