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Finding the Fourth Proportional to 5,919.90, 8,880 and 2,024.28

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Solution

The fourth proportional to 5,919.90, 8,880 and 2,024.28 is: 3,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.90 : 8,880 = 2,024.28 : x
  2. Step 2: Convert to fraction form
    5,919.90/8,880 = 2,024.28/x
  3. Step 3: Cross multiply
    5,919.90x = 8,880 × 2,024.28
  4. Step 4: Simplify right side
    5,919.90x = 17,975,606.40
  5. Step 5: Solve for x
    x = 17,975,606.40/5,919.90
  6. Step 6: Final answer
    x = 3,036.47

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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.