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Finding the Fourth Proportional to 5,638.48, 7,780.26 and 5,011.72

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Solution

The fourth proportional to 5,638.48, 7,780.26 and 5,011.72 is: 6,915.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.48 : 7,780.26 = 5,011.72 : x
  2. Step 2: Convert to fraction form
    5,638.48/7,780.26 = 5,011.72/x
  3. Step 3: Cross multiply
    5,638.48x = 7,780.26 × 5,011.72
  4. Step 4: Simplify right side
    5,638.48x = 38,992,484.65
  5. Step 5: Solve for x
    x = 38,992,484.65/5,638.48
  6. Step 6: Final answer
    x = 6,915.42

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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.