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Finding the Fourth Proportional to 4,633.59, 6,950.61 and 1,346.94

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Solution

The fourth proportional to 4,633.59, 6,950.61 and 1,346.94 is: 2,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.59 : 6,950.61 = 1,346.94 : x
  2. Step 2: Convert to fraction form
    4,633.59/6,950.61 = 1,346.94/x
  3. Step 3: Cross multiply
    4,633.59x = 6,950.61 × 1,346.94
  4. Step 4: Simplify right side
    4,633.59x = 9,362,054.63
  5. Step 5: Solve for x
    x = 9,362,054.63/4,633.59
  6. Step 6: Final answer
    x = 2,020.48

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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.