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Finding the Fourth Proportional to 5,206.95, 7,185.53 and 2,849.06

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Solution

The fourth proportional to 5,206.95, 7,185.53 and 2,849.06 is: 3,931.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.95 : 7,185.53 = 2,849.06 : x
  2. Step 2: Convert to fraction form
    5,206.95/7,185.53 = 2,849.06/x
  3. Step 3: Cross multiply
    5,206.95x = 7,185.53 × 2,849.06
  4. Step 4: Simplify right side
    5,206.95x = 20,472,031.19
  5. Step 5: Solve for x
    x = 20,472,031.19/5,206.95
  6. Step 6: Final answer
    x = 3,931.67

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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.