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Finding the Fourth Proportional to 3,830.14, 5,742.30 and 1,980.08

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Solution

The fourth proportional to 3,830.14, 5,742.30 and 1,980.08 is: 2,968.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.14 : 5,742.30 = 1,980.08 : x
  2. Step 2: Convert to fraction form
    3,830.14/5,742.30 = 1,980.08/x
  3. Step 3: Cross multiply
    3,830.14x = 5,742.30 × 1,980.08
  4. Step 4: Simplify right side
    3,830.14x = 11,370,199.71
  5. Step 5: Solve for x
    x = 11,370,199.71/3,830.14
  6. Step 6: Final answer
    x = 2,968.61

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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.