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Finding the Fourth Proportional to 4,758.74, 7,138.11 and 1,986.72

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Solution

The fourth proportional to 4,758.74, 7,138.11 and 1,986.72 is: 2,980.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.74 : 7,138.11 = 1,986.72 : x
  2. Step 2: Convert to fraction form
    4,758.74/7,138.11 = 1,986.72/x
  3. Step 3: Cross multiply
    4,758.74x = 7,138.11 × 1,986.72
  4. Step 4: Simplify right side
    4,758.74x = 14,181,425.90
  5. Step 5: Solve for x
    x = 14,181,425.90/4,758.74
  6. Step 6: Final answer
    x = 2,980.08

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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.