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Finding the Fourth Proportional to 5,811.61, 8,019.69 and 3,159

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Solution

The fourth proportional to 5,811.61, 8,019.69 and 3,159 is: 4,359.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.61 : 8,019.69 = 3,159 : x
  2. Step 2: Convert to fraction form
    5,811.61/8,019.69 = 3,159/x
  3. Step 3: Cross multiply
    5,811.61x = 8,019.69 × 3,159
  4. Step 4: Simplify right side
    5,811.61x = 25,334,200.71
  5. Step 5: Solve for x
    x = 25,334,200.71/5,811.61
  6. Step 6: Final answer
    x = 4,359.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.