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Finding the Fourth Proportional to 4,696.22, 7,044.54 and 1,774.76

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Solution

The fourth proportional to 4,696.22, 7,044.54 and 1,774.76 is: 2,662.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.22 : 7,044.54 = 1,774.76 : x
  2. Step 2: Convert to fraction form
    4,696.22/7,044.54 = 1,774.76/x
  3. Step 3: Cross multiply
    4,696.22x = 7,044.54 × 1,774.76
  4. Step 4: Simplify right side
    4,696.22x = 12,502,325.93
  5. Step 5: Solve for x
    x = 12,502,325.93/4,696.22
  6. Step 6: Final answer
    x = 2,662.21

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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.