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Finding the Fourth Proportional to 4,806.56, 7,210.56 and 2,031.84

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Solution

The fourth proportional to 4,806.56, 7,210.56 and 2,031.84 is: 3,048.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.56 : 7,210.56 = 2,031.84 : x
  2. Step 2: Convert to fraction form
    4,806.56/7,210.56 = 2,031.84/x
  3. Step 3: Cross multiply
    4,806.56x = 7,210.56 × 2,031.84
  4. Step 4: Simplify right side
    4,806.56x = 14,650,704.23
  5. Step 5: Solve for x
    x = 14,650,704.23/4,806.56
  6. Step 6: Final answer
    x = 3,048.06

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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.