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Finding the Fourth Proportional to 4,696.84, 7,045.17 and 1,922.86

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Solution

The fourth proportional to 4,696.84, 7,045.17 and 1,922.86 is: 2,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.84 : 7,045.17 = 1,922.86 : x
  2. Step 2: Convert to fraction form
    4,696.84/7,045.17 = 1,922.86/x
  3. Step 3: Cross multiply
    4,696.84x = 7,045.17 × 1,922.86
  4. Step 4: Simplify right side
    4,696.84x = 13,546,875.59
  5. Step 5: Solve for x
    x = 13,546,875.59/4,696.84
  6. Step 6: Final answer
    x = 2,884.25

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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.