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Finding the Fourth Proportional to 4,869.54, 7,307.82 and 3,305.82

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Solution

The fourth proportional to 4,869.54, 7,307.82 and 3,305.82 is: 4,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.54 : 7,307.82 = 3,305.82 : x
  2. Step 2: Convert to fraction form
    4,869.54/7,307.82 = 3,305.82/x
  3. Step 3: Cross multiply
    4,869.54x = 7,307.82 × 3,305.82
  4. Step 4: Simplify right side
    4,869.54x = 24,158,337.51
  5. Step 5: Solve for x
    x = 24,158,337.51/4,869.54
  6. Step 6: Final answer
    x = 4,961.11

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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.