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Finding the Fourth Proportional to 5,925.38, 8,886 and 2,806.84

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Solution

The fourth proportional to 5,925.38, 8,886 and 2,806.84 is: 4,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,925.38 : 8,886 = 2,806.84 : x
  2. Step 2: Convert to fraction form
    5,925.38/8,886 = 2,806.84/x
  3. Step 3: Cross multiply
    5,925.38x = 8,886 × 2,806.84
  4. Step 4: Simplify right side
    5,925.38x = 24,941,580.24
  5. Step 5: Solve for x
    x = 24,941,580.24/5,925.38
  6. Step 6: Final answer
    x = 4,209.28

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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.