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Finding the Fourth Proportional to 5,854.93, 8,769.21 and 4,107.72

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Solution

The fourth proportional to 5,854.93, 8,769.21 and 4,107.72 is: 6,152.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.93 : 8,769.21 = 4,107.72 : x
  2. Step 2: Convert to fraction form
    5,854.93/8,769.21 = 4,107.72/x
  3. Step 3: Cross multiply
    5,854.93x = 8,769.21 × 4,107.72
  4. Step 4: Simplify right side
    5,854.93x = 36,021,415.46
  5. Step 5: Solve for x
    x = 36,021,415.46/5,854.93
  6. Step 6: Final answer
    x = 6,152.32

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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.