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Finding the Fourth Proportional to 4,199.10, 5,798.98 and 3,460.38

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Solution

The fourth proportional to 4,199.10, 5,798.98 and 3,460.38 is: 4,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.10 : 5,798.98 = 3,460.38 : x
  2. Step 2: Convert to fraction form
    4,199.10/5,798.98 = 3,460.38/x
  3. Step 3: Cross multiply
    4,199.10x = 5,798.98 × 3,460.38
  4. Step 4: Simplify right side
    4,199.10x = 20,066,674.41
  5. Step 5: Solve for x
    x = 20,066,674.41/4,199.10
  6. Step 6: Final answer
    x = 4,778.80

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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.