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Finding the Fourth Proportional to 4,633.58, 6,951.40 and 1,346.93

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Solution

The fourth proportional to 4,633.58, 6,951.40 and 1,346.93 is: 2,020.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.58 : 6,951.40 = 1,346.93 : x
  2. Step 2: Convert to fraction form
    4,633.58/6,951.40 = 1,346.93/x
  3. Step 3: Cross multiply
    4,633.58x = 6,951.40 × 1,346.93
  4. Step 4: Simplify right side
    4,633.58x = 9,363,037.15
  5. Step 5: Solve for x
    x = 9,363,037.15/4,633.58
  6. Step 6: Final answer
    x = 2,020.69

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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.