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Finding the Fourth Proportional to 4,748.85, 7,124.40 and 3,364.92

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Solution

The fourth proportional to 4,748.85, 7,124.40 and 3,364.92 is: 5,048.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.85 : 7,124.40 = 3,364.92 : x
  2. Step 2: Convert to fraction form
    4,748.85/7,124.40 = 3,364.92/x
  3. Step 3: Cross multiply
    4,748.85x = 7,124.40 × 3,364.92
  4. Step 4: Simplify right side
    4,748.85x = 23,973,036.05
  5. Step 5: Solve for x
    x = 23,973,036.05/4,748.85
  6. Step 6: Final answer
    x = 5,048.18

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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.