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Finding the Fourth Proportional to 4,833.69, 7,250.56 and 1,713.77

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Solution

The fourth proportional to 4,833.69, 7,250.56 and 1,713.77 is: 2,570.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.69 : 7,250.56 = 1,713.77 : x
  2. Step 2: Convert to fraction form
    4,833.69/7,250.56 = 1,713.77/x
  3. Step 3: Cross multiply
    4,833.69x = 7,250.56 × 1,713.77
  4. Step 4: Simplify right side
    4,833.69x = 12,425,792.21
  5. Step 5: Solve for x
    x = 12,425,792.21/4,833.69
  6. Step 6: Final answer
    x = 2,570.67

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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.