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Finding the Fourth Proportional to 5,638.07, 7,780.28 and 3,085.79

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Solution

The fourth proportional to 5,638.07, 7,780.28 and 3,085.79 is: 4,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.07 : 7,780.28 = 3,085.79 : x
  2. Step 2: Convert to fraction form
    5,638.07/7,780.28 = 3,085.79/x
  3. Step 3: Cross multiply
    5,638.07x = 7,780.28 × 3,085.79
  4. Step 4: Simplify right side
    5,638.07x = 24,008,255.89
  5. Step 5: Solve for x
    x = 24,008,255.89/5,638.07
  6. Step 6: Final answer
    x = 4,258.24

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