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Finding the Fourth Proportional to 5,265.57, 7,899.81 and 2,303.48

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Solution

The fourth proportional to 5,265.57, 7,899.81 and 2,303.48 is: 3,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.57 : 7,899.81 = 2,303.48 : x
  2. Step 2: Convert to fraction form
    5,265.57/7,899.81 = 2,303.48/x
  3. Step 3: Cross multiply
    5,265.57x = 7,899.81 × 2,303.48
  4. Step 4: Simplify right side
    5,265.57x = 18,197,053.10
  5. Step 5: Solve for x
    x = 18,197,053.10/5,265.57
  6. Step 6: Final answer
    x = 3,455.85

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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.