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Finding the Fourth Proportional to 5,152.89, 7,109.80 and 3,477.41

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Solution

The fourth proportional to 5,152.89, 7,109.80 and 3,477.41 is: 4,798.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.89 : 7,109.80 = 3,477.41 : x
  2. Step 2: Convert to fraction form
    5,152.89/7,109.80 = 3,477.41/x
  3. Step 3: Cross multiply
    5,152.89x = 7,109.80 × 3,477.41
  4. Step 4: Simplify right side
    5,152.89x = 24,723,645.38
  5. Step 5: Solve for x
    x = 24,723,645.38/5,152.89
  6. Step 6: Final answer
    x = 4,798.02

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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.