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Finding the Fourth Proportional to 4,937.50, 7,409.90 and 2,340.45

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Solution

The fourth proportional to 4,937.50, 7,409.90 and 2,340.45 is: 3,512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.50 : 7,409.90 = 2,340.45 : x
  2. Step 2: Convert to fraction form
    4,937.50/7,409.90 = 2,340.45/x
  3. Step 3: Cross multiply
    4,937.50x = 7,409.90 × 2,340.45
  4. Step 4: Simplify right side
    4,937.50x = 17,342,500.46
  5. Step 5: Solve for x
    x = 17,342,500.46/4,937.50
  6. Step 6: Final answer
    x = 3,512.41

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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.