Home / 3,484.16-5,220.84-2,024

Finding the Fourth Proportional to 3,484.16, 5,220.84 and 2,024

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Solution

The fourth proportional to 3,484.16, 5,220.84 and 2,024 is: 3,032.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.16 : 5,220.84 = 2,024 : x
  2. Step 2: Convert to fraction form
    3,484.16/5,220.84 = 2,024/x
  3. Step 3: Cross multiply
    3,484.16x = 5,220.84 × 2,024
  4. Step 4: Simplify right side
    3,484.16x = 10,566,980.16
  5. Step 5: Solve for x
    x = 10,566,980.16/3,484.16
  6. Step 6: Final answer
    x = 3,032.86

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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.