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Finding the Fourth Proportional to 5,886.65, 8,831.39 and 2,189.00

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Solution

The fourth proportional to 5,886.65, 8,831.39 and 2,189.00 is: 3,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.65 : 8,831.39 = 2,189.00 : x
  2. Step 2: Convert to fraction form
    5,886.65/8,831.39 = 2,189.00/x
  3. Step 3: Cross multiply
    5,886.65x = 8,831.39 × 2,189.00
  4. Step 4: Simplify right side
    5,886.65x = 19,331,857.61
  5. Step 5: Solve for x
    x = 19,331,857.61/5,886.65
  6. Step 6: Final answer
    x = 3,284.02

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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.