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Finding the Fourth Proportional to 4,594.75, 6,341.09 and 2,578.40

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Solution

The fourth proportional to 4,594.75, 6,341.09 and 2,578.40 is: 3,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.75 : 6,341.09 = 2,578.40 : x
  2. Step 2: Convert to fraction form
    4,594.75/6,341.09 = 2,578.40/x
  3. Step 3: Cross multiply
    4,594.75x = 6,341.09 × 2,578.40
  4. Step 4: Simplify right side
    4,594.75x = 16,349,867.39
  5. Step 5: Solve for x
    x = 16,349,867.39/4,594.75
  6. Step 6: Final answer
    x = 3,558.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.