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Finding the Fourth Proportional to 4,946.76, 7,425.09 and 3,561.66

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Solution

The fourth proportional to 4,946.76, 7,425.09 and 3,561.66 is: 5,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.76 : 7,425.09 = 3,561.66 : x
  2. Step 2: Convert to fraction form
    4,946.76/7,425.09 = 3,561.66/x
  3. Step 3: Cross multiply
    4,946.76x = 7,425.09 × 3,561.66
  4. Step 4: Simplify right side
    4,946.76x = 26,445,646.05
  5. Step 5: Solve for x
    x = 26,445,646.05/4,946.76
  6. Step 6: Final answer
    x = 5,346.05

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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.