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Finding the Fourth Proportional to 5,780.72, 7,977.47 and 3,262.93

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Solution

The fourth proportional to 5,780.72, 7,977.47 and 3,262.93 is: 4,502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.72 : 7,977.47 = 3,262.93 : x
  2. Step 2: Convert to fraction form
    5,780.72/7,977.47 = 3,262.93/x
  3. Step 3: Cross multiply
    5,780.72x = 7,977.47 × 3,262.93
  4. Step 4: Simplify right side
    5,780.72x = 26,029,889.93
  5. Step 5: Solve for x
    x = 26,029,889.93/5,780.72
  6. Step 6: Final answer
    x = 4,502.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.