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Finding the Fourth Proportional to 5,106.63, 7,660.44 and 1,986.87

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Solution

The fourth proportional to 5,106.63, 7,660.44 and 1,986.87 is: 2,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.63 : 7,660.44 = 1,986.87 : x
  2. Step 2: Convert to fraction form
    5,106.63/7,660.44 = 1,986.87/x
  3. Step 3: Cross multiply
    5,106.63x = 7,660.44 × 1,986.87
  4. Step 4: Simplify right side
    5,106.63x = 15,220,298.42
  5. Step 5: Solve for x
    x = 15,220,298.42/5,106.63
  6. Step 6: Final answer
    x = 2,980.50

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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.