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Finding the Fourth Proportional to 4,889.84, 7,320.38 and 3,035

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Solution

The fourth proportional to 4,889.84, 7,320.38 and 3,035 is: 4,543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.84 : 7,320.38 = 3,035 : x
  2. Step 2: Convert to fraction form
    4,889.84/7,320.38 = 3,035/x
  3. Step 3: Cross multiply
    4,889.84x = 7,320.38 × 3,035
  4. Step 4: Simplify right side
    4,889.84x = 22,217,353.30
  5. Step 5: Solve for x
    x = 22,217,353.30/4,889.84
  6. Step 6: Final answer
    x = 4,543.57

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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.