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Finding the Fourth Proportional to 5,352.24, 7,386.48 and 3,780.72

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Solution

The fourth proportional to 5,352.24, 7,386.48 and 3,780.72 is: 5,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.24 : 7,386.48 = 3,780.72 : x
  2. Step 2: Convert to fraction form
    5,352.24/7,386.48 = 3,780.72/x
  3. Step 3: Cross multiply
    5,352.24x = 7,386.48 × 3,780.72
  4. Step 4: Simplify right side
    5,352.24x = 27,926,212.67
  5. Step 5: Solve for x
    x = 27,926,212.67/5,352.24
  6. Step 6: Final answer
    x = 5,217.67

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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.