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Finding the Fourth Proportional to 5,263.29, 7,893.72 and 2,340

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Solution

The fourth proportional to 5,263.29, 7,893.72 and 2,340 is: 3,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.29 : 7,893.72 = 2,340 : x
  2. Step 2: Convert to fraction form
    5,263.29/7,893.72 = 2,340/x
  3. Step 3: Cross multiply
    5,263.29x = 7,893.72 × 2,340
  4. Step 4: Simplify right side
    5,263.29x = 18,471,304.80
  5. Step 5: Solve for x
    x = 18,471,304.80/5,263.29
  6. Step 6: Final answer
    x = 3,509.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.