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Finding the Fourth Proportional to 5,672.70, 8,509.05 and 4,749.30

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Solution

The fourth proportional to 5,672.70, 8,509.05 and 4,749.30 is: 7,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.70 : 8,509.05 = 4,749.30 : x
  2. Step 2: Convert to fraction form
    5,672.70/8,509.05 = 4,749.30/x
  3. Step 3: Cross multiply
    5,672.70x = 8,509.05 × 4,749.30
  4. Step 4: Simplify right side
    5,672.70x = 40,412,031.17
  5. Step 5: Solve for x
    x = 40,412,031.17/5,672.70
  6. Step 6: Final answer
    x = 7,123.95

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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.