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Finding the Fourth Proportional to 4,736.76, 7,102.92 and 1,615.92

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Solution

The fourth proportional to 4,736.76, 7,102.92 and 1,615.92 is: 2,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.76 : 7,102.92 = 1,615.92 : x
  2. Step 2: Convert to fraction form
    4,736.76/7,102.92 = 1,615.92/x
  3. Step 3: Cross multiply
    4,736.76x = 7,102.92 × 1,615.92
  4. Step 4: Simplify right side
    4,736.76x = 11,477,750.49
  5. Step 5: Solve for x
    x = 11,477,750.49/4,736.76
  6. Step 6: Final answer
    x = 2,423.12

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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.