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Finding the Fourth Proportional to 5,537.79, 7,624.67 and 4,696.74

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Solution

The fourth proportional to 5,537.79, 7,624.67 and 4,696.74 is: 6,466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.79 : 7,624.67 = 4,696.74 : x
  2. Step 2: Convert to fraction form
    5,537.79/7,624.67 = 4,696.74/x
  3. Step 3: Cross multiply
    5,537.79x = 7,624.67 × 4,696.74
  4. Step 4: Simplify right side
    5,537.79x = 35,811,069.09
  5. Step 5: Solve for x
    x = 35,811,069.09/5,537.79
  6. Step 6: Final answer
    x = 6,466.67

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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.