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Finding the Fourth Proportional to 5,662.58, 8,497.65 and 2,155.82

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Solution

The fourth proportional to 5,662.58, 8,497.65 and 2,155.82 is: 3,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.58 : 8,497.65 = 2,155.82 : x
  2. Step 2: Convert to fraction form
    5,662.58/8,497.65 = 2,155.82/x
  3. Step 3: Cross multiply
    5,662.58x = 8,497.65 × 2,155.82
  4. Step 4: Simplify right side
    5,662.58x = 18,319,403.82
  5. Step 5: Solve for x
    x = 18,319,403.82/5,662.58
  6. Step 6: Final answer
    x = 3,235.17

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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.