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Finding the Fourth Proportional to 4,566.54, 6,848 and 1,604.10

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Solution

The fourth proportional to 4,566.54, 6,848 and 1,604.10 is: 2,405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.54 : 6,848 = 1,604.10 : x
  2. Step 2: Convert to fraction form
    4,566.54/6,848 = 1,604.10/x
  3. Step 3: Cross multiply
    4,566.54x = 6,848 × 1,604.10
  4. Step 4: Simplify right side
    4,566.54x = 10,984,876.80
  5. Step 5: Solve for x
    x = 10,984,876.80/4,566.54
  6. Step 6: Final answer
    x = 2,405.51

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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.