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Finding the Fourth Proportional to 5,135.92, 7,703.76 and 1,673.20

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Solution

The fourth proportional to 5,135.92, 7,703.76 and 1,673.20 is: 2,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.92 : 7,703.76 = 1,673.20 : x
  2. Step 2: Convert to fraction form
    5,135.92/7,703.76 = 1,673.20/x
  3. Step 3: Cross multiply
    5,135.92x = 7,703.76 × 1,673.20
  4. Step 4: Simplify right side
    5,135.92x = 12,889,931.23
  5. Step 5: Solve for x
    x = 12,889,931.23/5,135.92
  6. Step 6: Final answer
    x = 2,509.76

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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.