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Finding the Fourth Proportional to 5,189.68, 7,156.80 and 3,419.52

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Solution

The fourth proportional to 5,189.68, 7,156.80 and 3,419.52 is: 4,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.68 : 7,156.80 = 3,419.52 : x
  2. Step 2: Convert to fraction form
    5,189.68/7,156.80 = 3,419.52/x
  3. Step 3: Cross multiply
    5,189.68x = 7,156.80 × 3,419.52
  4. Step 4: Simplify right side
    5,189.68x = 24,472,820.74
  5. Step 5: Solve for x
    x = 24,472,820.74/5,189.68
  6. Step 6: Final answer
    x = 4,715.67

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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.