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Finding the Fourth Proportional to 5,069.86, 7,604.88 and 2,296

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Solution

The fourth proportional to 5,069.86, 7,604.88 and 2,296 is: 3,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.86 : 7,604.88 = 2,296 : x
  2. Step 2: Convert to fraction form
    5,069.86/7,604.88 = 2,296/x
  3. Step 3: Cross multiply
    5,069.86x = 7,604.88 × 2,296
  4. Step 4: Simplify right side
    5,069.86x = 17,460,804.48
  5. Step 5: Solve for x
    x = 17,460,804.48/5,069.86
  6. Step 6: Final answer
    x = 3,444.04

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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.