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Finding the Fourth Proportional to 3,919.66, 5,875.71 and 1,321.18

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Solution

The fourth proportional to 3,919.66, 5,875.71 and 1,321.18 is: 1,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.66 : 5,875.71 = 1,321.18 : x
  2. Step 2: Convert to fraction form
    3,919.66/5,875.71 = 1,321.18/x
  3. Step 3: Cross multiply
    3,919.66x = 5,875.71 × 1,321.18
  4. Step 4: Simplify right side
    3,919.66x = 7,762,870.54
  5. Step 5: Solve for x
    x = 7,762,870.54/3,919.66
  6. Step 6: Final answer
    x = 1,980.50

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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.