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Finding the Fourth Proportional to 5,182.76, 7,774.18 and 1,895.96

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Solution

The fourth proportional to 5,182.76, 7,774.18 and 1,895.96 is: 2,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.76 : 7,774.18 = 1,895.96 : x
  2. Step 2: Convert to fraction form
    5,182.76/7,774.18 = 1,895.96/x
  3. Step 3: Cross multiply
    5,182.76x = 7,774.18 × 1,895.96
  4. Step 4: Simplify right side
    5,182.76x = 14,739,534.31
  5. Step 5: Solve for x
    x = 14,739,534.31/5,182.76
  6. Step 6: Final answer
    x = 2,843.95

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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.