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Finding the Fourth Proportional to 5,159.17, 7,735.32 and 1,871.84

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Solution

The fourth proportional to 5,159.17, 7,735.32 and 1,871.84 is: 2,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.17 : 7,735.32 = 1,871.84 : x
  2. Step 2: Convert to fraction form
    5,159.17/7,735.32 = 1,871.84/x
  3. Step 3: Cross multiply
    5,159.17x = 7,735.32 × 1,871.84
  4. Step 4: Simplify right side
    5,159.17x = 14,479,233.35
  5. Step 5: Solve for x
    x = 14,479,233.35/5,159.17
  6. Step 6: Final answer
    x = 2,806.50

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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.