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Finding the Fourth Proportional to 5,790.52, 8,686.86 and 1,895.14

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Solution

The fourth proportional to 5,790.52, 8,686.86 and 1,895.14 is: 2,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.52 : 8,686.86 = 1,895.14 : x
  2. Step 2: Convert to fraction form
    5,790.52/8,686.86 = 1,895.14/x
  3. Step 3: Cross multiply
    5,790.52x = 8,686.86 × 1,895.14
  4. Step 4: Simplify right side
    5,790.52x = 16,462,815.86
  5. Step 5: Solve for x
    x = 16,462,815.86/5,790.52
  6. Step 6: Final answer
    x = 2,843.06

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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.