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Finding the Fourth Proportional to 4,696, 7,033.92 and 3,047.74

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Solution

The fourth proportional to 4,696, 7,033.92 and 3,047.74 is: 4,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696 : 7,033.92 = 3,047.74 : x
  2. Step 2: Convert to fraction form
    4,696/7,033.92 = 3,047.74/x
  3. Step 3: Cross multiply
    4,696x = 7,033.92 × 3,047.74
  4. Step 4: Simplify right side
    4,696x = 21,437,559.34
  5. Step 5: Solve for x
    x = 21,437,559.34/4,696
  6. Step 6: Final answer
    x = 4,565.07

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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.