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Finding the Fourth Proportional to 5,182.08, 7,776.08 and 1,894.72

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Solution

The fourth proportional to 5,182.08, 7,776.08 and 1,894.72 is: 2,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.08 : 7,776.08 = 1,894.72 : x
  2. Step 2: Convert to fraction form
    5,182.08/7,776.08 = 1,894.72/x
  3. Step 3: Cross multiply
    5,182.08x = 7,776.08 × 1,894.72
  4. Step 4: Simplify right side
    5,182.08x = 14,733,494.30
  5. Step 5: Solve for x
    x = 14,733,494.30/5,182.08
  6. Step 6: Final answer
    x = 2,843.16

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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.