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Finding the Fourth Proportional to 5,604.63, 8,410.50 and 5,078.61

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Solution

The fourth proportional to 5,604.63, 8,410.50 and 5,078.61 is: 7,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.63 : 8,410.50 = 5,078.61 : x
  2. Step 2: Convert to fraction form
    5,604.63/8,410.50 = 5,078.61/x
  3. Step 3: Cross multiply
    5,604.63x = 8,410.50 × 5,078.61
  4. Step 4: Simplify right side
    5,604.63x = 42,713,649.41
  5. Step 5: Solve for x
    x = 42,713,649.41/5,604.63
  6. Step 6: Final answer
    x = 7,621.14

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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.