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Finding the Fourth Proportional to 4,478.52, 6,185.56 and 2,984

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Solution

The fourth proportional to 4,478.52, 6,185.56 and 2,984 is: 4,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.52 : 6,185.56 = 2,984 : x
  2. Step 2: Convert to fraction form
    4,478.52/6,185.56 = 2,984/x
  3. Step 3: Cross multiply
    4,478.52x = 6,185.56 × 2,984
  4. Step 4: Simplify right side
    4,478.52x = 18,457,711.04
  5. Step 5: Solve for x
    x = 18,457,711.04/4,478.52
  6. Step 6: Final answer
    x = 4,121.39

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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.