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Finding the Fourth Proportional to 4,673.06, 7,006.54 and 3,278.64

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Solution

The fourth proportional to 4,673.06, 7,006.54 and 3,278.64 is: 4,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.06 : 7,006.54 = 3,278.64 : x
  2. Step 2: Convert to fraction form
    4,673.06/7,006.54 = 3,278.64/x
  3. Step 3: Cross multiply
    4,673.06x = 7,006.54 × 3,278.64
  4. Step 4: Simplify right side
    4,673.06x = 22,971,922.31
  5. Step 5: Solve for x
    x = 22,971,922.31/4,673.06
  6. Step 6: Final answer
    x = 4,915.82

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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.