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Finding the Fourth Proportional to 4,633.64, 6,950.62 and 1,346.12

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Solution

The fourth proportional to 4,633.64, 6,950.62 and 1,346.12 is: 2,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.64 : 6,950.62 = 1,346.12 : x
  2. Step 2: Convert to fraction form
    4,633.64/6,950.62 = 1,346.12/x
  3. Step 3: Cross multiply
    4,633.64x = 6,950.62 × 1,346.12
  4. Step 4: Simplify right side
    4,633.64x = 9,356,368.59
  5. Step 5: Solve for x
    x = 9,356,368.59/4,633.64
  6. Step 6: Final answer
    x = 2,019.23

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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.