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Finding the Fourth Proportional to 4,377.76, 6,038.22 and 2,608

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Solution

The fourth proportional to 4,377.76, 6,038.22 and 2,608 is: 3,597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.76 : 6,038.22 = 2,608 : x
  2. Step 2: Convert to fraction form
    4,377.76/6,038.22 = 2,608/x
  3. Step 3: Cross multiply
    4,377.76x = 6,038.22 × 2,608
  4. Step 4: Simplify right side
    4,377.76x = 15,747,677.76
  5. Step 5: Solve for x
    x = 15,747,677.76/4,377.76
  6. Step 6: Final answer
    x = 3,597.20

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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.