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Finding the Fourth Proportional to 4,477.65, 6,716.59 and 2,137.89

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Solution

The fourth proportional to 4,477.65, 6,716.59 and 2,137.89 is: 3,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.65 : 6,716.59 = 2,137.89 : x
  2. Step 2: Convert to fraction form
    4,477.65/6,716.59 = 2,137.89/x
  3. Step 3: Cross multiply
    4,477.65x = 6,716.59 × 2,137.89
  4. Step 4: Simplify right side
    4,477.65x = 14,359,330.60
  5. Step 5: Solve for x
    x = 14,359,330.60/4,477.65
  6. Step 6: Final answer
    x = 3,206.89

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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.