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Finding the Fourth Proportional to 4,239, 5,850.36 and 2,470.50

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Solution

The fourth proportional to 4,239, 5,850.36 and 2,470.50 is: 3,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,239 : 5,850.36 = 2,470.50 : x
  2. Step 2: Convert to fraction form
    4,239/5,850.36 = 2,470.50/x
  3. Step 3: Cross multiply
    4,239x = 5,850.36 × 2,470.50
  4. Step 4: Simplify right side
    4,239x = 14,453,314.38
  5. Step 5: Solve for x
    x = 14,453,314.38/4,239
  6. Step 6: Final answer
    x = 3,409.60

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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.