Home / 5,052.72-7,578-1,541.94

Finding the Fourth Proportional to 5,052.72, 7,578 and 1,541.94

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Solution

The fourth proportional to 5,052.72, 7,578 and 1,541.94 is: 2,312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.72 : 7,578 = 1,541.94 : x
  2. Step 2: Convert to fraction form
    5,052.72/7,578 = 1,541.94/x
  3. Step 3: Cross multiply
    5,052.72x = 7,578 × 1,541.94
  4. Step 4: Simplify right side
    5,052.72x = 11,684,821.32
  5. Step 5: Solve for x
    x = 11,684,821.32/5,052.72
  6. Step 6: Final answer
    x = 2,312.58

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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.