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Finding the Fourth Proportional to 4,674.77, 6,450.59 and 2,658.14

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Solution

The fourth proportional to 4,674.77, 6,450.59 and 2,658.14 is: 3,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.77 : 6,450.59 = 2,658.14 : x
  2. Step 2: Convert to fraction form
    4,674.77/6,450.59 = 2,658.14/x
  3. Step 3: Cross multiply
    4,674.77x = 6,450.59 × 2,658.14
  4. Step 4: Simplify right side
    4,674.77x = 17,146,525.76
  5. Step 5: Solve for x
    x = 17,146,525.76/4,674.77
  6. Step 6: Final answer
    x = 3,667.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.