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Finding the Fourth Proportional to 5,886.06, 8,811.54 and 5,284.71

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Solution

The fourth proportional to 5,886.06, 8,811.54 and 5,284.71 is: 7,911.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.06 : 8,811.54 = 5,284.71 : x
  2. Step 2: Convert to fraction form
    5,886.06/8,811.54 = 5,284.71/x
  3. Step 3: Cross multiply
    5,886.06x = 8,811.54 × 5,284.71
  4. Step 4: Simplify right side
    5,886.06x = 46,566,433.55
  5. Step 5: Solve for x
    x = 46,566,433.55/5,886.06
  6. Step 6: Final answer
    x = 7,911.31

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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.