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Finding the Fourth Proportional to 5,206.50, 7,184.97 and 2,848.67

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Solution

The fourth proportional to 5,206.50, 7,184.97 and 2,848.67 is: 3,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.50 : 7,184.97 = 2,848.67 : x
  2. Step 2: Convert to fraction form
    5,206.50/7,184.97 = 2,848.67/x
  3. Step 3: Cross multiply
    5,206.50x = 7,184.97 × 2,848.67
  4. Step 4: Simplify right side
    5,206.50x = 20,467,572.57
  5. Step 5: Solve for x
    x = 20,467,572.57/5,206.50
  6. Step 6: Final answer
    x = 3,931.16

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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.