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Finding the Fourth Proportional to 3,113.02, 4,296 and 1,715.80

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Solution

The fourth proportional to 3,113.02, 4,296 and 1,715.80 is: 2,367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.02 : 4,296 = 1,715.80 : x
  2. Step 2: Convert to fraction form
    3,113.02/4,296 = 1,715.80/x
  3. Step 3: Cross multiply
    3,113.02x = 4,296 × 1,715.80
  4. Step 4: Simplify right side
    3,113.02x = 7,371,076.80
  5. Step 5: Solve for x
    x = 7,371,076.80/3,113.02
  6. Step 6: Final answer
    x = 2,367.82

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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.