Home / 5,027.72-7,541.76-1,565

Finding the Fourth Proportional to 5,027.72, 7,541.76 and 1,565

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Solution

The fourth proportional to 5,027.72, 7,541.76 and 1,565 is: 2,347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.72 : 7,541.76 = 1,565 : x
  2. Step 2: Convert to fraction form
    5,027.72/7,541.76 = 1,565/x
  3. Step 3: Cross multiply
    5,027.72x = 7,541.76 × 1,565
  4. Step 4: Simplify right side
    5,027.72x = 11,802,854.40
  5. Step 5: Solve for x
    x = 11,802,854.40/5,027.72
  6. Step 6: Final answer
    x = 2,347.56

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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.